Events

February 1, 2016 at 6:00 pm

Algebra Seminar | Quick Introduction to Banach Algebras and Gelfand Transform, Feb. 25

The Athens Algebra Seminar presents Javier Ronquillo of Ohio University discussing “A quick introduction to Banach Algebras and Gelfand Transform” on Thursday, Feb. 25, from 4:35 to 5:30 p.m. in Morton 127.

Abstract: I will talk about Banach Algebras and how some of their properties allow us to define functions in the Banach Algebra using Taylor Series. After that I will talk about the Gelfand transform which lets us represent Banach algebras as algebras of continuous functions from a compact space to the complex numbers. In the case that the Banach Algebra is a C*-algebra then the Gelfand transform ends up giving us a representation that is isometric isomorphism.

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