<?xml version="1.0" encoding="UTF-8"?><rss version="2.0" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://web.resource.org/cc/"><channel><title>Xpert - All items matching the search terms - </title><link>http://www.nottingham.ac.uk/xpert</link><description>This RSS feed contains all the items from Xpert, matching the search terms - </description><generator>Xpert</generator><language>en-gb</language><copyright>http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ </copyright><dc:publisher>Xpert</dc:publisher><cc:license></cc:license><item><title><![CDATA[Basic Vector Space Methods in Signal and Systems Theory]]></title><dc:title><![CDATA[Basic Vector Space Methods in Signal and Systems Theory]]></dc:title><link><![CDATA[http://cnx.org/content/col10636/latest/]]></link><guid><![CDATA[http://cnx.org/content/col10636/latest/]]></guid><description><![CDATA[<b><i>
                <a href="http://cnx.org/member_profile/cburrus">C. Sidney Burrus</a>
                
                </i></b><br/>
              Linear algebra, vector space methods, and functional analysis are a powerful setting for many topics in engineering, science (including social sciences), and business. This collection starts with […]<br/>
              
              <img style="border: 0px"
                  src="http://i.creativecommons.org/l/by/3.0/80x15.png"/>
            ]]>
</description><dc:description><![CDATA[<b><i>
                <a href="http://cnx.org/member_profile/cburrus">C. Sidney Burrus</a>
                
                </i></b><br/>
              Linear algebra, vector space methods, and functional analysis are a powerful setting for many topics in engineering, science (including social sciences), and business. This collection starts with […]<br/>
              
              <img style="border: 0px"
                  src="http://i.creativecommons.org/l/by/3.0/80x15.png"/>
            ]]>
</dc:description></item><item><title><![CDATA[Lecture 19b: Functional Analysis - Sums and Quotients of Vector Spaces]]></title><dc:title><![CDATA[Lecture 19b: Functional Analysis - Sums and Quotients of Vector Spaces]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=s1hlaL65TBI]]></link><guid><![CDATA[http://www.youtube.com/watch?v=s1hlaL65TBI]]></guid><description><![CDATA[The second part of the nineteenth class in Dr Joel Feinstein's Functional Analysis module covers Sums and Quotients of Vector Spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an As]]>
</description><dc:description><![CDATA[The second part of the nineteenth class in Dr Joel Feinstein's Functional Analysis module covers Sums and Quotients of Vector Spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an As]]>
</dc:description></item><item><title><![CDATA[Lecture 19a: Functional Analysis - Isomorphisms of normed spaces]]></title><dc:title><![CDATA[Lecture 19a: Functional Analysis - Isomorphisms of normed spaces]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=ZDW_NfOPsnM]]></link><guid><![CDATA[http://www.youtube.com/watch?v=ZDW_NfOPsnM]]></guid><description><![CDATA[The first part of the nineteenth class in Dr Joel Feinstein's Functional Analysis module continues with a discussion of isomorphisms of normed spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel F]]>
</description><dc:description><![CDATA[The first part of the nineteenth class in Dr Joel Feinstein's Functional Analysis module continues with a discussion of isomorphisms of normed spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel F]]>
</dc:description></item><item><title><![CDATA[Lecture 18b: Functional Analysis - Isomorphisms]]></title><dc:title><![CDATA[Lecture 18b: Functional Analysis - Isomorphisms]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=9IBU-a1rzMw]]></link><guid><![CDATA[http://www.youtube.com/watch?v=9IBU-a1rzMw]]></guid><description><![CDATA[The second part of the eighteenth class in Dr Joel Feinstein's Functional Analysis module about Isomorphisms.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pur]]>
</description><dc:description><![CDATA[The second part of the eighteenth class in Dr Joel Feinstein's Functional Analysis module about Isomorphisms.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pur]]>
</dc:description></item><item><title><![CDATA[Lecture 17: Functional Analysis - Sequence spaces continued]]></title><dc:title><![CDATA[Lecture 17: Functional Analysis - Sequence spaces continued]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=JIKx5Yf8mPw]]></link><guid><![CDATA[http://www.youtube.com/watch?v=JIKx5Yf8mPw]]></guid><description><![CDATA[The seventeenth class in Dr Joel Feinstein's Functional Analysis module about Sequence spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pure Mathematics a]]>
</description><dc:description><![CDATA[The seventeenth class in Dr Joel Feinstein's Functional Analysis module about Sequence spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pure Mathematics a]]>
</dc:description></item><item><title><![CDATA[Lecture 16b: Functional Analysis - Sequence spaces]]></title><dc:title><![CDATA[Lecture 16b: Functional Analysis - Sequence spaces]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=MoUQxlX0YAg]]></link><guid><![CDATA[http://www.youtube.com/watch?v=MoUQxlX0YAg]]></guid><description><![CDATA[The second part of the sixteenth class in Dr Joel Feinstein's Functional Analysis module covering Sequence spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor i]]>
</description><dc:description><![CDATA[The second part of the sixteenth class in Dr Joel Feinstein's Functional Analysis module covering Sequence spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor i]]>
</dc:description></item><item><title><![CDATA[Lecture 16a: Functional Analysis - Linear maps]]></title><dc:title><![CDATA[Lecture 16a: Functional Analysis - Linear maps]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=A7_530Td1HI]]></link><guid><![CDATA[http://www.youtube.com/watch?v=A7_530Td1HI]]></guid><description><![CDATA[The first part of the sixteenth class in Dr Joel Feinstein's Functional Analysis module covering linear maps and connections with Lipschitz continuity.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel ]]>
</description><dc:description><![CDATA[The first part of the sixteenth class in Dr Joel Feinstein's Functional Analysis module covering linear maps and connections with Lipschitz continuity.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel ]]>
</dc:description></item><item><title><![CDATA[Lecture 15b: Functional Analysis - Linear Maps]]></title><dc:title><![CDATA[Lecture 15b: Functional Analysis - Linear Maps]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=F0jRVOa7yC0]]></link><guid><![CDATA[http://www.youtube.com/watch?v=F0jRVOa7yC0]]></guid><description><![CDATA[The second part of the fifteenth class in Dr Joel Feinstein's Functional Analysis module covering linear maps.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pu]]>
</description><dc:description><![CDATA[The second part of the fifteenth class in Dr Joel Feinstein's Functional Analysis module covering linear maps.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pu]]>
</dc:description></item><item><title><![CDATA[Lecture 15a: Functional Analysis - Final discussion of Equivalence of norms]]></title><dc:title><![CDATA[Lecture 15a: Functional Analysis - Final discussion of Equivalence of norms]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=gPTgm6pbnCg]]></link><guid><![CDATA[http://www.youtube.com/watch?v=gPTgm6pbnCg]]></guid><description><![CDATA[The first part of the fifteenth class in Dr Joel Feinstein's Functional Analysis module completes the discussion of the Equivalence of norms.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein ]]>
</description><dc:description><![CDATA[The first part of the fifteenth class in Dr Joel Feinstein's Functional Analysis module completes the discussion of the Equivalence of norms.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein ]]>
</dc:description></item><item><title><![CDATA[Stochastic Evolution Equations]]></title><dc:title><![CDATA[Stochastic Evolution Equations]]></dc:title><link><![CDATA[http://www.oercommons.org/courses/stochastic-evolution-equations]]></link><guid><![CDATA[http://www.oercommons.org/courses/stochastic-evolution-equations]]></guid><description><![CDATA[The lectures are at a beginning graduate level and assume only basic familiarity with Functional Analysis and Probability Theory. Topics covered include:

Random variables in Banach spaces: Gaussian random variables, contraction principles, Kahane-Khintchine inequality, Anderson’s inequality.
Stochastic integration in Banach spaces I: γ-Radonifying operators, γ-boundedness, Brownian motion, Wiener stochastic integral.
Stochastic evolution equations I: Linear stochastic evolution equations: e]]>
</description><dc:description><![CDATA[The lectures are at a beginning graduate level and assume only basic familiarity with Functional Analysis and Probability Theory. Topics covered include:

Random variables in Banach spaces: Gaussian random variables, contraction principles, Kahane-Khintchine inequality, Anderson’s inequality.
Stochastic integration in Banach spaces I: γ-Radonifying operators, γ-boundedness, Brownian motion, Wiener stochastic integral.
Stochastic evolution equations I: Linear stochastic evolution equations: e]]>
</dc:description></item><item><title><![CDATA[Genetic Neurobiology, Fall 2002]]></title><dc:title><![CDATA[Genetic Neurobiology, Fall 2002]]></dc:title><link><![CDATA[http://hdl.handle.net/1721.1/35841]]></link><guid><![CDATA[http://hdl.handle.net/1721.1/35841]]></guid><description><![CDATA[Deals with the specific functions of neurons, the interactions of neurons in development, and the organization of neuronal ensembles to produce behavior, by functional analysis of mutations and molecular analysis of their genes. Concentrates on work with nematodes, fruit flies, mice, and humans.]]>
</description><dc:description><![CDATA[Deals with the specific functions of neurons, the interactions of neurons in development, and the organization of neuronal ensembles to produce behavior, by functional analysis of mutations and molecular analysis of their genes. Concentrates on work with nematodes, fruit flies, mice, and humans.]]>
</dc:description></item><item><title><![CDATA[Lecture 14b: Functional Analysis - A recap of Equivalence of norms]]></title><dc:title><![CDATA[Lecture 14b: Functional Analysis - A recap of Equivalence of norms]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=LDwvuyjrQ5Q]]></link><guid><![CDATA[http://www.youtube.com/watch?v=LDwvuyjrQ5Q]]></guid><description><![CDATA[The second part of the fourteenth class in Dr Joel Feinstein's Functional Analysis module continues the discussion of the Equivalence of norms.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstei]]>
</description><dc:description><![CDATA[The second part of the fourteenth class in Dr Joel Feinstein's Functional Analysis module continues the discussion of the Equivalence of norms.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstei]]>
</dc:description></item><item><title><![CDATA[Lecture 14a: Functional Analysis - A recap of Equivalence of norms]]></title><dc:title><![CDATA[Lecture 14a: Functional Analysis - A recap of Equivalence of norms]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=X1rWRoYiZCg]]></link><guid><![CDATA[http://www.youtube.com/watch?v=X1rWRoYiZCg]]></guid><description><![CDATA[The first part of the fourteenth class in Dr Joel Feinstein's Functional Analysis module includes a recap of the Equivalence of norms.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an A]]>
</description><dc:description><![CDATA[The first part of the fourteenth class in Dr Joel Feinstein's Functional Analysis module includes a recap of the Equivalence of norms.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an A]]>
</dc:description></item><item><title><![CDATA[Lecture 13b: Functional Analysis - Equivalence of norms]]></title><dc:title><![CDATA[Lecture 13b: Functional Analysis - Equivalence of norms]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=xnaZroiqzIo]]></link><guid><![CDATA[http://www.youtube.com/watch?v=xnaZroiqzIo]]></guid><description><![CDATA[The second part of the thirteenth class in Dr Joel Feinstein's Functional Analysis module discusses the Equivalence of norms.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate ]]>
</description><dc:description><![CDATA[The second part of the thirteenth class in Dr Joel Feinstein's Functional Analysis module discusses the Equivalence of norms.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate ]]>
</dc:description></item><item><title><![CDATA[Lecture 13a: Functional Analysis - Normed spaces and Banach spaces]]></title><dc:title><![CDATA[Lecture 13a: Functional Analysis - Normed spaces and Banach spaces]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=3jMUgI5oIJE]]></link><guid><![CDATA[http://www.youtube.com/watch?v=3jMUgI5oIJE]]></guid><description><![CDATA[The first part of the thirteenth class in Dr Joel Feinstein's Functional Analysis module completes the discussion of Normed spaces and Banach spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Fe]]>
</description><dc:description><![CDATA[The first part of the thirteenth class in Dr Joel Feinstein's Functional Analysis module completes the discussion of Normed spaces and Banach spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Fe]]>
</dc:description></item><item><title><![CDATA[Functional analysis]]></title><dc:title><![CDATA[Functional analysis]]></dc:title><link><![CDATA[http://unow.nottingham.ac.uk/resources/resourcescms.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951]]></link><guid><![CDATA[http://unow.nottingham.ac.uk/resources/resourcescms.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951]]></guid><description><![CDATA[As taught in 2006-2007 and 2007-2008.

Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. 

This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will inclu]]>
</description><dc:description><![CDATA[As taught in 2006-2007 and 2007-2008.

Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. 

This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will inclu]]>
</dc:description></item><item><title><![CDATA[Functional analysis 2010]]></title><dc:title><![CDATA[Functional analysis 2010]]></dc:title><link><![CDATA[http://unow.nottingham.ac.uk/resources/resourcescms.aspx?hid=c9eec1dc-8c27-9949-dc16-2728edf6c994]]></link><guid><![CDATA[http://unow.nottingham.ac.uk/resources/resourcescms.aspx?hid=c9eec1dc-8c27-9949-dc16-2728edf6c994]]></guid><description><![CDATA[This is a module framework. It can be viewed online or downloaded as a zip file.

As taught Autumn semester 2010.

Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. 

This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banac]]>
</description><dc:description><![CDATA[This is a module framework. It can be viewed online or downloaded as a zip file.

As taught Autumn semester 2010.

Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. 

This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banac]]>
</dc:description></item><item><title><![CDATA[Endomorphisms of commutative semiprime Banach algebras]]></title><dc:title><![CDATA[Endomorphisms of commutative semiprime Banach algebras]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=BH-RhXOz6Q4]]></link><guid><![CDATA[http://www.youtube.com/watch?v=BH-RhXOz6Q4]]></guid><description><![CDATA[Dr Joel Feinstein's talk at Banach Algebras 2011, Waterloo, Ontario, Canada. He discussed joint work with Herb Kamowitz on compact, power compact, quasicompact and Riesz endomorphisms of commutative Banach algebras, along with some background, examples, and questions.
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.]]>
</description><dc:description><![CDATA[Dr Joel Feinstein's talk at Banach Algebras 2011, Waterloo, Ontario, Canada. He discussed joint work with Herb Kamowitz on compact, power compact, quasicompact and Riesz endomorphisms of commutative Banach algebras, along with some background, examples, and questions.
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.]]>
</dc:description></item><item><title><![CDATA[Lecture 12: Functional Analysis - Normed spaces and Banach spaces]]></title><dc:title><![CDATA[Lecture 12: Functional Analysis - Normed spaces and Banach spaces]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=mBxzuLJe1IU]]></link><guid><![CDATA[http://www.youtube.com/watch?v=mBxzuLJe1IU]]></guid><description><![CDATA[The twelfth class in Dr Joel Feinstein's Functional Analysis module continues the discussion of Normed spaces and Banach spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associa]]>
</description><dc:description><![CDATA[The twelfth class in Dr Joel Feinstein's Functional Analysis module continues the discussion of Normed spaces and Banach spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associa]]>
</dc:description></item><item><title><![CDATA[Stochastic Evolution Equations]]></title><dc:title><![CDATA[Stochastic Evolution Equations]]></dc:title><link><![CDATA[http://ocw.tudelft.nl/courses/mathematics/stochastic-evolution-equations/course-home/]]></link><guid><![CDATA[http://ocw.tudelft.nl/courses/mathematics/stochastic-evolution-equations/course-home/]]></guid><description><![CDATA[The lectures are at a beginning graduate level and assume only basic familiarity with Functional Analysis and Probability Theory. Topics covered include:

Random variables in Banach spaces: Gaussian random variables, contraction principles, Kahane-Khintchine inequality, Anderson’s inequality.
Stochastic integration in Banach spaces I: γ-Radonifying operators, γ-boundedness, Brownian motion, Wiener stochastic integral.
Stochastic evolution equations I: Linear stochastic evolution equations: e]]>
</description><dc:description><![CDATA[The lectures are at a beginning graduate level and assume only basic familiarity with Functional Analysis and Probability Theory. Topics covered include:

Random variables in Banach spaces: Gaussian random variables, contraction principles, Kahane-Khintchine inequality, Anderson’s inequality.
Stochastic integration in Banach spaces I: γ-Radonifying operators, γ-boundedness, Brownian motion, Wiener stochastic integral.
Stochastic evolution equations I: Linear stochastic evolution equations: e]]>
</dc:description></item><item><title><![CDATA[Lecture 11b: Functional Analysis]]></title><dc:title><![CDATA[Lecture 11b: Functional Analysis]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=qRhAyyVUrRc]]></link><guid><![CDATA[http://www.youtube.com/watch?v=qRhAyyVUrRc]]></guid><description><![CDATA[The second part of the eleventh class in Dr Joel Feinstein's Functional Analysis module consists of a revision interlude on pointwise and uniform convergence for sequences of functions.]]>
</description><dc:description><![CDATA[The second part of the eleventh class in Dr Joel Feinstein's Functional Analysis module consists of a revision interlude on pointwise and uniform convergence for sequences of functions.]]>
</dc:description></item><item><title><![CDATA[Lecture 11a: Functional Analysis]]></title><dc:title><![CDATA[Lecture 11a: Functional Analysis]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=LUfUHccwoQY]]></link><guid><![CDATA[http://www.youtube.com/watch?v=LUfUHccwoQY]]></guid><description><![CDATA[The first part of the eleventh class in Dr Joel Feinstein's Functional Analysis module includes the proof that the space C[0,1] of continuous, real-valued functions on [0,1] is complete when given the uniform norm. (See also the second part of this lecture for a revision interlude on pointwise and uniform convergence for sequences of functions.)]]>
</description><dc:description><![CDATA[The first part of the eleventh class in Dr Joel Feinstein's Functional Analysis module includes the proof that the space C[0,1] of continuous, real-valued functions on [0,1] is complete when given the uniform norm. (See also the second part of this lecture for a revision interlude on pointwise and uniform convergence for sequences of functions.)]]>
</dc:description></item><item><title><![CDATA["Introduction to Functional Analysis, Spring 2009"]]></title><dc:title><![CDATA["Introduction to Functional Analysis, Spring 2009"]]></dc:title><link><![CDATA[http://www.oercommons.org/courses/introduction-to-functional-analysis-spring-2009]]></link><guid><![CDATA[http://www.oercommons.org/courses/introduction-to-functional-analysis-spring-2009]]></guid><description><![CDATA[" This is a undergraduate course. It will cover normed spaces, completeness, functionals, Hahn-Banach theorem, duality, operators; Lebesgue measure, measurable functions, integrability, completeness of L-p spaces; Hilbert space; compact, Hilbert-Schmidt and trace class operators; as well as spectral theorem."]]>
</description><dc:description><![CDATA[" This is a undergraduate course. It will cover normed spaces, completeness, functionals, Hahn-Banach theorem, duality, operators; Lebesgue measure, measurable functions, integrability, completeness of L-p spaces; Hilbert space; compact, Hilbert-Schmidt and trace class operators; as well as spectral theorem."]]>
</dc:description></item><item><title><![CDATA[Lecture 10: Functional Analysis - Normed spaces and Banach spaces]]></title><dc:title><![CDATA[Lecture 10: Functional Analysis - Normed spaces and Banach spaces]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=I-vosyFCUBE]]></link><guid><![CDATA[http://www.youtube.com/watch?v=I-vosyFCUBE]]></guid><description><![CDATA[The tenth class in Dr Joel Feinstein's Functional Analysis module covers Normed spaces and Banach spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pure Ma]]>
</description><dc:description><![CDATA[The tenth class in Dr Joel Feinstein's Functional Analysis module covers Normed spaces and Banach spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pure Ma]]>
</dc:description></item><item><title><![CDATA[Lecture 9b: Functional Analysis - Normed spaces and Banach spaces]]></title><dc:title><![CDATA[Lecture 9b: Functional Analysis - Normed spaces and Banach spaces]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=niu20BxClhA]]></link><guid><![CDATA[http://www.youtube.com/watch?v=niu20BxClhA]]></guid><description><![CDATA[The second part of the ninth class in Dr Joel Feinstein's Functional Analysis module covers Normed spaces and Banach spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate P]]>
</description><dc:description><![CDATA[The second part of the ninth class in Dr Joel Feinstein's Functional Analysis module covers Normed spaces and Banach spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate P]]>
</dc:description></item><item><title><![CDATA[Lecture 9a: Functional Analysis - Infinite products and Tychonoff's theorem]]></title><dc:title><![CDATA[Lecture 9a: Functional Analysis - Infinite products and Tychonoff's theorem]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=dzTzsKRIeBI]]></link><guid><![CDATA[http://www.youtube.com/watch?v=dzTzsKRIeBI]]></guid><description><![CDATA[The first part of the ninth class in Dr Joel Feinstein's Functional Analysis module includes a recap followed by conclusion of the proof of Tychonoff's theorem.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com]]>
</description><dc:description><![CDATA[The first part of the ninth class in Dr Joel Feinstein's Functional Analysis module includes a recap followed by conclusion of the proof of Tychonoff's theorem.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com]]>
</dc:description></item><item><title><![CDATA[Lecture 8: Functional Analysis - The proof of Tychonoff's theorem]]></title><dc:title><![CDATA[Lecture 8: Functional Analysis - The proof of Tychonoff's theorem]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=JPLc641gddw]]></link><guid><![CDATA[http://www.youtube.com/watch?v=JPLc641gddw]]></guid><description><![CDATA[The eighth class in Dr Joel Feinstein's Functional Analysis module includes the proof of Tychonoff's theorem.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pur]]>
</description><dc:description><![CDATA[The eighth class in Dr Joel Feinstein's Functional Analysis module includes the proof of Tychonoff's theorem.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pur]]>
</dc:description></item><item><title><![CDATA[Lecture 7: Functional Analysis - Infinite products and Tychonoff's theorem]]></title><dc:title><![CDATA[Lecture 7: Functional Analysis - Infinite products and Tychonoff's theorem]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=HnuW7tkpdhY]]></link><guid><![CDATA[http://www.youtube.com/watch?v=HnuW7tkpdhY]]></guid><description><![CDATA[The seventh class in Dr Joel Feinstein's Functional Analysis module covers Infinite products and Tychonoff's theorem.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professo]]>
</description><dc:description><![CDATA[The seventh class in Dr Joel Feinstein's Functional Analysis module covers Infinite products and Tychonoff's theorem.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professo]]>
</dc:description></item><item><title><![CDATA[Lecture 6b: Functional Analysis - Continuation of discussion session on partially ordered sets]]></title><dc:title><![CDATA[Lecture 6b: Functional Analysis - Continuation of discussion session on partially ordered sets]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=dajnoEECpOA]]></link><guid><![CDATA[http://www.youtube.com/watch?v=dajnoEECpOA]]></guid><description><![CDATA[The second part of the sixth class in Dr Joel Feinstein's Functional Analysis module is a continuation of the revision/ discussion session on partially ordered sets and vector spaces, including discussion of choice functions, well orderings, and Zorn's lemma.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottin]]>
</description><dc:description><![CDATA[The second part of the sixth class in Dr Joel Feinstein's Functional Analysis module is a continuation of the revision/ discussion session on partially ordered sets and vector spaces, including discussion of choice functions, well orderings, and Zorn's lemma.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottin]]>
</dc:description></item><item><title><![CDATA[Lecture 6a: Functional Analysis -  Discussion session on partially ordered sets and vector spaces]]></title><dc:title><![CDATA[Lecture 6a: Functional Analysis -  Discussion session on partially ordered sets and vector spaces]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=Dnn-RaD5j0c]]></link><guid><![CDATA[http://www.youtube.com/watch?v=Dnn-RaD5j0c]]></guid><description><![CDATA[The first part of the sixth class in Dr Joel Feinstein's Functional Analysis module is a revision/ discussion session on partially ordered sets and vector spaces, including discussion of choice functions, well orderings, and Zorn's lemma.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.]]>
</description><dc:description><![CDATA[The first part of the sixth class in Dr Joel Feinstein's Functional Analysis module is a revision/ discussion session on partially ordered sets and vector spaces, including discussion of choice functions, well orderings, and Zorn's lemma.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.]]>
</dc:description></item><item><title><![CDATA[Bioinformatic Insights Into Mammalian Gene Regulation: Can Keystrokes Confront Cancer?]]></title><dc:title><![CDATA[Bioinformatic Insights Into Mammalian Gene Regulation: Can Keystrokes Confront Cancer?]]></dc:title><link><![CDATA[http://www.oercommons.org/libraries/bioinformatic-insights-into-mammalian-gene-regulation-can-keystrokes-confront-cancer]]></link><guid><![CDATA[http://www.oercommons.org/libraries/bioinformatic-insights-into-mammalian-gene-regulation-can-keystrokes-confront-cancer]]></guid><description><![CDATA[Dr. Laura Elnitski, Head of the Genomic Functional Analysis Section, Genome Technology Branch NHGRI/NIHDr. Elnitski uses experimental and Bioinformatic methods to discover non-coding functional elements in the human genome. On 7 March 2008, Dr. Elnitski came to MSU-Bozeman to participate in the Women In Bioinformatics Seminar Series.]]>
</description><dc:description><![CDATA[Dr. Laura Elnitski, Head of the Genomic Functional Analysis Section, Genome Technology Branch NHGRI/NIHDr. Elnitski uses experimental and Bioinformatic methods to discover non-coding functional elements in the human genome. On 7 March 2008, Dr. Elnitski came to MSU-Bozeman to participate in the Women In Bioinformatics Seminar Series.]]>
</dc:description></item><item><title><![CDATA[Lecture 5b: Functional Analysis - Infinite products and Tychonoff's theorem]]></title><dc:title><![CDATA[Lecture 5b: Functional Analysis - Infinite products and Tychonoff's theorem]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=jylufLH2NDg]]></link><guid><![CDATA[http://www.youtube.com/watch?v=jylufLH2NDg]]></guid><description><![CDATA[The sixth class in Dr Joel Feinstein's Functional Analysis module is a revision of finite products of topological spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951  and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Pro]]>
</description><dc:description><![CDATA[The sixth class in Dr Joel Feinstein's Functional Analysis module is a revision of finite products of topological spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951  and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Pro]]>
</dc:description></item><item><title><![CDATA[Lecture 5a: Functional Analysis - Nowhere dense sets]]></title><dc:title><![CDATA[Lecture 5a: Functional Analysis - Nowhere dense sets]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=ElpChyfdB-I]]></link><guid><![CDATA[http://www.youtube.com/watch?v=ElpChyfdB-I]]></guid><description><![CDATA[The fifth class in Dr Joel Feinstein's Functional Analysis module covers proofs that countably infinite complete metric spaces must have isolated points. Nowhere dense sets and nowhere dense closed sets.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951  and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be vie]]>
</description><dc:description><![CDATA[The fifth class in Dr Joel Feinstein's Functional Analysis module covers proofs that countably infinite complete metric spaces must have isolated points. Nowhere dense sets and nowhere dense closed sets.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951  and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be vie]]>
</dc:description></item><item><title><![CDATA[The Uniform Boundedness Principle - Dr Joel Feinstein]]></title><dc:title><![CDATA[The Uniform Boundedness Principle - Dr Joel Feinstein]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=p9xWEGaysbg]]></link><guid><![CDATA[http://www.youtube.com/watch?v=p9xWEGaysbg]]></guid><description><![CDATA[This is a lecture from Dr Feinstein's 4th-year module G14FUN Functional Analysis. See also Dr Feinstein's blog at http://explainingmaths.wordpress.com/ and, in particular, the Functional Analysis screencasts blog page at http://wp.me/PosHB-8v In this screencast, Dr Feinstein discusses two famous results concerning collections of bounded linear operators, one of which is a corollary of the other. Both of these results have been called the Banach-Steinhaus Theorem (by various authors). The stronge]]>
</description><dc:description><![CDATA[This is a lecture from Dr Feinstein's 4th-year module G14FUN Functional Analysis. See also Dr Feinstein's blog at http://explainingmaths.wordpress.com/ and, in particular, the Functional Analysis screencasts blog page at http://wp.me/PosHB-8v In this screencast, Dr Feinstein discusses two famous results concerning collections of bounded linear operators, one of which is a corollary of the other. Both of these results have been called the Banach-Steinhaus Theorem (by various authors). The stronge]]>
</dc:description></item><item><title><![CDATA[Lecture 4 - Complete metric spaces - printed slides 7-9]]></title><dc:title><![CDATA[Lecture 4 - Complete metric spaces - printed slides 7-9]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=C-paRA4WBoM]]></link><guid><![CDATA[http://www.youtube.com/watch?v=C-paRA4WBoM]]></guid><description><![CDATA[The fourth class in Dr Joel Feinstein's Functional Analysis module continues on the subject of complete metric spaces. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=...  and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the Un]]>
</description><dc:description><![CDATA[The fourth class in Dr Joel Feinstein's Functional Analysis module continues on the subject of complete metric spaces. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=...  and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the Un]]>
</dc:description></item><item><title><![CDATA[Lecture 3 - revision of Metric and Topological Spaces]]></title><dc:title><![CDATA[Lecture 3 - revision of Metric and Topological Spaces]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=68c8lX1GYsw]]></link><guid><![CDATA[http://www.youtube.com/watch?v=68c8lX1GYsw]]></guid><description><![CDATA[The third class in Dr Joel Feinstein's Functional Analysis module is a discussion of which topics from MTS will be most relevant in this module.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=...  and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com/
Dr Joel Feinstein is an Associate Professor in]]>
</description><dc:description><![CDATA[The third class in Dr Joel Feinstein's Functional Analysis module is a discussion of which topics from MTS will be most relevant in this module.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=...  and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com/
Dr Joel Feinstein is an Associate Professor in]]>
</dc:description></item><item><title><![CDATA[Lecture 2 - Complete metric spaces]]></title><dc:title><![CDATA[Lecture 2 - Complete metric spaces]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=zcAvVTFUxS8]]></link><guid><![CDATA[http://www.youtube.com/watch?v=zcAvVTFUxS8]]></guid><description><![CDATA[The second class in in Dr Joel Feinstein's Functional Analysis module covers complete metric spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pure Mathema]]>
</description><dc:description><![CDATA[The second class in in Dr Joel Feinstein's Functional Analysis module covers complete metric spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pure Mathema]]>
</dc:description></item><item><title><![CDATA[Lecture 1 - Functional Analysis]]></title><dc:title><![CDATA[Lecture 1 - Functional Analysis]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=7IIw_U8rv4Q]]></link><guid><![CDATA[http://www.youtube.com/watch?v=7IIw_U8rv4Q]]></guid><description><![CDATA[The first class in in Dr Joel Feinstein's Functional Analysis module covers introductory material on totally ordered sets and partially ordered sets.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com/
Dr Joel F]]>
</description><dc:description><![CDATA[The first class in in Dr Joel Feinstein's Functional Analysis module covers introductory material on totally ordered sets and partially ordered sets.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com/
Dr Joel F]]>
</dc:description></item><item><title><![CDATA[Functional analysis 2010]]></title><dc:title><![CDATA[Functional analysis 2010]]></dc:title><link><![CDATA[http://unow.nottingham.ac.uk/resources/resource.aspx?hid=c9eec1dc-8c27-9949-dc16-2728edf6c994]]></link><guid><![CDATA[http://unow.nottingham.ac.uk/resources/resource.aspx?hid=c9eec1dc-8c27-9949-dc16-2728edf6c994]]></guid><description><![CDATA[This is a module framework. It can be viewed online or downloaded as a zip file.

As taught Autumn semester 2010.

Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. 

This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banac]]>
</description><dc:description><![CDATA[This is a module framework. It can be viewed online or downloaded as a zip file.

As taught Autumn semester 2010.

Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. 

This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banac]]>
</dc:description></item><item><title><![CDATA[Functional analysis]]></title><dc:title><![CDATA[Functional analysis]]></dc:title><link><![CDATA[http://open.jorum.ac.uk:80/xmlui/handle/123456789/2594]]></link><guid><![CDATA[http://open.jorum.ac.uk:80/xmlui/handle/123456789/2594]]></guid><description><![CDATA[As taught in 2006-2007 and 2007-2008. Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will include:]]>
</description><dc:description><![CDATA[As taught in 2006-2007 and 2007-2008. Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will include:]]>
</dc:description></item><item><title><![CDATA[TALAT Lecture 2101.02: The product development process]]></title><dc:title><![CDATA[TALAT Lecture 2101.02: The product development process]]></dc:title><link><![CDATA[http://open.jorum.ac.uk:80/xmlui/handle/123456789/3403]]></link><guid><![CDATA[http://open.jorum.ac.uk:80/xmlui/handle/123456789/3403]]></guid><description><![CDATA[This lecture provides a brief introduction to the product development process and systematic design. It aims at generating interest in and a common understanding of the product development process; telling about the basic principles and terminology used in connection with systematic design in order to facilitate the use of the four product design examples presented in this course (see TALAT lectures 2102.01 - .04). The lecture is recommended for those situations, where a brief, general backgroun]]>
</description><dc:description><![CDATA[This lecture provides a brief introduction to the product development process and systematic design. It aims at generating interest in and a common understanding of the product development process; telling about the basic principles and terminology used in connection with systematic design in order to facilitate the use of the four product design examples presented in this course (see TALAT lectures 2102.01 - .04). The lecture is recommended for those situations, where a brief, general backgroun]]>
</dc:description></item><item><title><![CDATA[Stochastic Evolution Equati]]></title><dc:title><![CDATA[Stochastic Evolution Equati]]></dc:title><link><![CDATA[http://www.oercommons.org/courses/stochastic-evolution-equati]]></link><guid><![CDATA[http://www.oercommons.org/courses/stochastic-evolution-equati]]></guid><description><![CDATA[The lectures are at a beginning graduate level and assume only basic familiarity with Functional Analysis and Probability Theory. Topics covered include:

Random variables in Banach spaces: Gaussian random variables, contraction principles, Kahane-Khintchine inequality, Anderson’s inequality.
Stochastic ...]]>
</description><dc:description><![CDATA[The lectures are at a beginning graduate level and assume only basic familiarity with Functional Analysis and Probability Theory. Topics covered include:

Random variables in Banach spaces: Gaussian random variables, contraction principles, Kahane-Khintchine inequality, Anderson’s inequality.
Stochastic ...]]>
</dc:description></item><item><title><![CDATA[Theory of functions of a real variable]]></title><dc:title><![CDATA[Theory of functions of a real variable]]></dc:title><link><![CDATA[http://www.oercommons.org/courses/theory-of-functions-of-a-real-variable]]></link><guid><![CDATA[http://www.oercommons.org/courses/theory-of-functions-of-a-real-variable]]></guid><description><![CDATA[I have taught the beginning graduate course in real variables and functional analysis three times in the last five years, and this book is the result. The course assumes that the student has seen the basics of real variable theory and point set topology. The elements of the topology of metrics spaces are presented (in the nature of a rapid review) in Chapter I. The course itself consists of two parts: 1) measure theory and integration, and 2) Hilbert space theory, especially the spectral theorem]]>
</description><dc:description><![CDATA[I have taught the beginning graduate course in real variables and functional analysis three times in the last five years, and this book is the result. The course assumes that the student has seen the basics of real variable theory and point set topology. The elements of the topology of metrics spaces are presented (in the nature of a rapid review) in Chapter I. The course itself consists of two parts: 1) measure theory and integration, and 2) Hilbert space theory, especially the spectral theorem]]>
</dc:description></item><item><title><![CDATA[18.102 Introduction to Functional Analysis (MIT)]]></title><dc:title><![CDATA[18.102 Introduction to Functional Analysis (MIT)]]></dc:title><link><![CDATA[http://ocw.mit.edu/courses/mathematics/18-102-introduction-to-functional-analysis-spring-2009]]></link><guid><![CDATA[http://ocw.mit.edu/courses/mathematics/18-102-introduction-to-functional-analysis-spring-2009]]></guid><description><![CDATA[This is a undergraduate course. It will cover normed spaces, completeness, functionals, Hahn-Banach theorem, duality, operators; Lebesgue measure, measurable functions, integrability, completeness of L-p spaces; Hilbert space;
compact, Hilbert-Schmidt and trace class operators; as well as spectral theorem.]]>
</description><dc:description><![CDATA[This is a undergraduate course. It will cover normed spaces, completeness, functionals, Hahn-Banach theorem, duality, operators; Lebesgue measure, measurable functions, integrability, completeness of L-p spaces; Hilbert space;
compact, Hilbert-Schmidt and trace class operators; as well as spectral theorem.]]>
</dc:description></item><item><title><![CDATA[Functional analysis]]></title><dc:title><![CDATA[Functional analysis]]></dc:title><link><![CDATA[http://www.merlot.org/merlot/viewMaterial.htm?id=490995]]></link><guid><![CDATA[http://www.merlot.org/merlot/viewMaterial.htm?id=490995]]></guid><description><![CDATA[As taught in 2006-2007 and 2007-2008. Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will include:]]>
</description><dc:description><![CDATA[As taught in 2006-2007 and 2007-2008. Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will include:]]>
</dc:description></item><item><title><![CDATA[The Uniform Boundedness Principle - Dr Joel Feinstein]]></title><dc:title><![CDATA[The Uniform Boundedness Principle - Dr Joel Feinstein]]></dc:title><link><![CDATA[http://www.youtube.com/watch?v=xS3S1uYu2U0]]></link><guid><![CDATA[http://www.youtube.com/watch?v=xS3S1uYu2U0]]></guid><description><![CDATA[This is a lecture from Dr Feinstein's 4th-year module G14FUN Functional Analysis.

See also Dr Feinstein's blog at http://explainingmaths.wordpress.com/ and, in particular, the Functional Analysis screencasts blog page at http://wp.me/PosHB-8v

In this screencast, Dr Feinstein discusses two famous results concerning collections of bounded linear operators, one of which is a corollary of the other. Both of these results have been called the Banach-Steinhaus Theorem (by various authors). The stron]]>
</description><dc:description><![CDATA[This is a lecture from Dr Feinstein's 4th-year module G14FUN Functional Analysis.

See also Dr Feinstein's blog at http://explainingmaths.wordpress.com/ and, in particular, the Functional Analysis screencasts blog page at http://wp.me/PosHB-8v

In this screencast, Dr Feinstein discusses two famous results concerning collections of bounded linear operators, one of which is a corollary of the other. Both of these results have been called the Banach-Steinhaus Theorem (by various authors). The stron]]>
</dc:description></item><item><title><![CDATA[Stochastic Evolution Equati]]></title><dc:title><![CDATA[Stochastic Evolution Equati]]></dc:title><link><![CDATA[http://ocw.tudelft.nl/courses/other-courses/stochastic-evolution-equations/course-home/]]></link><guid><![CDATA[http://ocw.tudelft.nl/courses/other-courses/stochastic-evolution-equations/course-home/]]></guid><description><![CDATA[The lectures are at a beginning graduate level and assume only basic familiarity with Functional Analysis and Probability Theory. Topics covered include:

Random variables in Banach spaces: Gaussian random variables, contraction principles, Kahane-Khintchine inequality, Anderson’s inequality.
Stochastic integration in Banach spaces I: γ-Radonifying operators, γ-boundedness, Brownian motion, Wiener stochastic integral.
Stochastic evolution equations I: Linear stochastic evolution equations: e]]>
</description><dc:description><![CDATA[The lectures are at a beginning graduate level and assume only basic familiarity with Functional Analysis and Probability Theory. Topics covered include:

Random variables in Banach spaces: Gaussian random variables, contraction principles, Kahane-Khintchine inequality, Anderson’s inequality.
Stochastic integration in Banach spaces I: γ-Radonifying operators, γ-boundedness, Brownian motion, Wiener stochastic integral.
Stochastic evolution equations I: Linear stochastic evolution equations: e]]>
</dc:description></item><item><title><![CDATA[Language:  Functional analysis]]></title><dc:title><![CDATA[Language:  Functional analysis]]></dc:title><link><![CDATA[http://webcast.berkeley.edu/media/common/courses/fall_2008/cognitive_science_c127_001/dffecc3a-26b8-4e31-a3ec-2c6237f6b7ec_opencast_audio_course_alldist.m4a]]></link><guid><![CDATA[http://webcast.berkeley.edu/media/common/courses/fall_2008/cognitive_science_c127_001/dffecc3a-26b8-4e31-a3ec-2c6237f6b7ec_opencast_audio_course_alldist.m4a]]></guid><description><![CDATA[""]]>
</description><dc:description><![CDATA[""]]>
</dc:description></item><item><title><![CDATA[Lecture 19: Language: Functional analysis]]></title><dc:title><![CDATA[Lecture 19: Language: Functional analysis]]></dc:title><link><![CDATA[http://webcast.berkeley.edu/media/common/courses/fall_2009/cognitive_science_c127_001/ef4b87bf-1776-4807-a71c-c64cea674a25_opencast_screen_alldist.mp4]]></link><guid><![CDATA[http://webcast.berkeley.edu/media/common/courses/fall_2009/cognitive_science_c127_001/ef4b87bf-1776-4807-a71c-c64cea674a25_opencast_screen_alldist.mp4]]></guid><description><![CDATA[""]]>
</description><dc:description><![CDATA[""]]>
</dc:description></item><item><title><![CDATA[Lecture 19: Language: Functional analysis]]></title><dc:title><![CDATA[Lecture 19: Language: Functional analysis]]></dc:title><link><![CDATA[http://webcast.berkeley.edu/media/common/courses/fall_2009/cognitive_science_c127_001/ef4b87bf-1776-4807-a71c-c64cea674a25_opencast_audio_course_alldist.m4a]]></link><guid><![CDATA[http://webcast.berkeley.edu/media/common/courses/fall_2009/cognitive_science_c127_001/ef4b87bf-1776-4807-a71c-c64cea674a25_opencast_audio_course_alldist.m4a]]></guid><description><![CDATA[""]]>
</description><dc:description><![CDATA[""]]>
</dc:description></item><item><title><![CDATA[Functional Analysis]]></title><dc:title><![CDATA[Functional Analysis]]></dc:title><link><![CDATA[http://www.edshare.soton.ac.uk/2608/]]></link><guid><![CDATA[http://www.edshare.soton.ac.uk/2608/]]></guid><description><![CDATA[Functional Analysis - UNSPECIFIED
 Keywords:mathbank <http://www.edshare.soton.ac.uk/view/keywords/mathbank.html>]]>
</description><dc:description><![CDATA[Functional Analysis - UNSPECIFIED
 Keywords:mathbank <http://www.edshare.soton.ac.uk/view/keywords/mathbank.html>]]>
</dc:description></item><item><title><![CDATA[TALAT Lecture 2101.02: The product development process]]></title><dc:title><![CDATA[TALAT Lecture 2101.02: The product development process]]></dc:title><link><![CDATA[http://core.materials.ac.uk/search/detail.php?id=2124]]></link><guid><![CDATA[http://core.materials.ac.uk/search/detail.php?id=2124]]></guid><description><![CDATA[This lecture provides a brief introduction to the product development process and systematic design. It aims at generating  interest in and a common understanding of the product development process; telling about the basic principles and terminology used in connection with systematic design in order to facilitate the use of the four product design examples presented in this course (see TALAT lectures 2102.01 - .04). The lecture is recommended for those situations, where a brief, general backgrou]]>
</description><dc:description><![CDATA[This lecture provides a brief introduction to the product development process and systematic design. It aims at generating  interest in and a common understanding of the product development process; telling about the basic principles and terminology used in connection with systematic design in order to facilitate the use of the four product design examples presented in this course (see TALAT lectures 2102.01 - .04). The lecture is recommended for those situations, where a brief, general backgrou]]>
</dc:description></item><item><title><![CDATA[Stochastic Evolution Equations]]></title><dc:title><![CDATA[Stochastic Evolution Equations]]></dc:title><link><![CDATA[http://feedproxy.google.com/~r/tudelft/OCW/~3/8zgi066-E4U/course-home]]></link><guid><![CDATA[http://feedproxy.google.com/~r/tudelft/OCW/~3/8zgi066-E4U/course-home]]></guid><description><![CDATA[The lectures are at a beginning graduate level and assume only basic familiarity with Functional Analysis and Probability Theory. Topics covered include: 

Random variables in Banach spaces: Gaussian random variables, contraction principles, Kahane-Khintchine inequality, Anderson’s inequality. 
Stochastic integration in Banach spaces I: γ-Radonifying operators, γ-boundedness, Brownian motion, Wiener stochastic integral. 
Stochastic evolution equations I: Linear stochastic evolution equations]]>
</description><dc:description><![CDATA[The lectures are at a beginning graduate level and assume only basic familiarity with Functional Analysis and Probability Theory. Topics covered include: 

Random variables in Banach spaces: Gaussian random variables, contraction principles, Kahane-Khintchine inequality, Anderson’s inequality. 
Stochastic integration in Banach spaces I: γ-Radonifying operators, γ-boundedness, Brownian motion, Wiener stochastic integral. 
Stochastic evolution equations I: Linear stochastic evolution equations]]>
</dc:description></item><item><title><![CDATA[Functional analysis]]></title><dc:title><![CDATA[Functional analysis]]></dc:title><link><![CDATA[http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951]]></link><guid><![CDATA[http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951]]></guid><description><![CDATA[As taught in 2006-2007 and 2007-2008.

Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. 

This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will inclu]]>
</description><dc:description><![CDATA[As taught in 2006-2007 and 2007-2008.

Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. 

This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will inclu]]>
</dc:description></item><item><title><![CDATA[Theory of functions of a real variable]]></title><dc:title><![CDATA[Theory of functions of a real variable]]></dc:title><link><![CDATA[http://www.math.harvard.edu/~shlomo/docs/Real_Variables.pdf]]></link><guid><![CDATA[http://www.math.harvard.edu/~shlomo/docs/Real_Variables.pdf]]></guid><description><![CDATA[I have taught the beginning graduate course in real variables and functional analysis three times in the last five years, and this book is the result. The course assumes that the student has seen the basics of real variable theory and point set topology. The elements of the topology of metrics spaces are presented (in the nature of a rapid review) in Chapter I. The course itself consists of two parts: 1) measure theory and integration, and 2) Hilbert space theory, especially the spectral theorem]]>
</description><dc:description><![CDATA[I have taught the beginning graduate course in real variables and functional analysis three times in the last five years, and this book is the result. The course assumes that the student has seen the basics of real variable theory and point set topology. The elements of the topology of metrics spaces are presented (in the nature of a rapid review) in Chapter I. The course itself consists of two parts: 1) measure theory and integration, and 2) Hilbert space theory, especially the spectral theorem]]>
</dc:description></item><item><title><![CDATA[Stochastic Evolution Equations]]></title><dc:title><![CDATA[Stochastic Evolution Equations]]></dc:title><link><![CDATA[http://feedproxy.google.com/~r/tudelft/OCW/~3/EzrBycJTxVg/course-home]]></link><guid><![CDATA[http://feedproxy.google.com/~r/tudelft/OCW/~3/EzrBycJTxVg/course-home]]></guid><description><![CDATA[The lectures are at a beginning graduate level and assume only basic familiarity with Functional Analysis and Probability Theory. Topics covered include: 

Random variables in Banach spaces: Gaussian random variables, contraction principles, Kahane-Khintchine inequality, Anderson’s inequality. 
Stochastic integration in Banach spaces I: γ-Radonifying operators, γ-boundedness, Brownian motion, Wiener stochastic integral. 
Stochastic evolution equations I: Linear stochastic evolution equations]]>
</description><dc:description><![CDATA[The lectures are at a beginning graduate level and assume only basic familiarity with Functional Analysis and Probability Theory. Topics covered include: 

Random variables in Banach spaces: Gaussian random variables, contraction principles, Kahane-Khintchine inequality, Anderson’s inequality. 
Stochastic integration in Banach spaces I: γ-Radonifying operators, γ-boundedness, Brownian motion, Wiener stochastic integral. 
Stochastic evolution equations I: Linear stochastic evolution equations]]>
</dc:description></item><item><title><![CDATA[Bioinformatic Insights Into Mammalian Gene Regulation: Can Keystrokes Confront Cancer?]]></title><dc:title><![CDATA[Bioinformatic Insights Into Mammalian Gene Regulation: Can Keystrokes Confront Cancer?]]></dc:title><link><![CDATA[http://www.scivee.tv/node/5654]]></link><guid><![CDATA[http://www.scivee.tv/node/5654]]></guid><description><![CDATA[Dr. Laura Elnitski, Head of the Genomic Functional Analysis Section, Genome Technology Branch NHGRI/NIHDr. Elnitski uses experimental and Bioinformatic methods to discover non-coding functional elements in the human genome. On 7 March 2008, Dr. Elnitski came to MSU-Bozeman to participate in the Women In Bioinformatics Seminar Series.]]>
</description><dc:description><![CDATA[Dr. Laura Elnitski, Head of the Genomic Functional Analysis Section, Genome Technology Branch NHGRI/NIHDr. Elnitski uses experimental and Bioinformatic methods to discover non-coding functional elements in the human genome. On 7 March 2008, Dr. Elnitski came to MSU-Bozeman to participate in the Women In Bioinformatics Seminar Series.]]>
</dc:description></item></channel></rss>