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.

Advanced Mathematics

iPod version - Endomorphisms of commutative semiprime Banach algebras - Dr Joel Feinstein

Endomorphisms of commutative semiprime Banach algebras - Dr Joel Feinstein

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 st

iPod version - The Uniform Boundedness Principle - Dr Joel Feinstein

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 introduces the weak topology on a normed space and the weak star topology on the dual space. He then proves the Banach-Alaoglu theorem, that the closed unit ball of the dual space is weak star compact. This material is suitab

iPod version - The weak star topology and the Banach-Alaoglu theorem

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 associated blog post at http://wp.me/posHB-7y In this screencast, Dr Feinstein proves the Baire Category Theorem for complete metric spaces - a countable intersection of dense, open subsets of a complete metric space must be dense. This material is suitable for those with a knowledge of metric space topology and, in particu

iPod version - The Baire Category Theorem - Dr Joel Feinstein

The Uniform Boundedness Principle - Dr Joel Feinstein

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 associated blog post at http://wp.me/posHB-7y In this screencast, Dr Feinstein proves the Baire Category Theorem for complete metric spaces - a countable intersection of dense, open subsets of a complete metric space must be dense. This material is suitable for those with a knowledge of metric space topology and, in p

The Baire Category Theorem - Dr Joel Feinstein

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 introduces the weak topology on a normed space and the weak star topology on the dual space. He then proves the Banach-Alaoglu theorem, that the closed unit ball of the dual space is weak star compact. This material

The weak star topology and the Banach-Alaoglu theorem

A selection of recordings of more specialized talks, typically for those with background equivalent to at least a BSc in mathematics.

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Advanced Mathematics

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