Upcoming Colloquia for the Fall Semester
Tuesday, December 9, 2014, 4:00pm, UBC 192:
Dr. Marat Markin (Fresno State)
Title: On one amazing formula binding two branches of mathematics
Abstract: Gelfand's spectral radius formula, relating the purely algebraic concept of the spectrum of an element of a complex Banach algebra to the analytic entities of limit and norm, can be rightfully considered a vivid revelation of the intrinsic connection between the two branches of mathematics: algebra and analysis. We are going to consider a traditional proof of this fundamental result based on the generalization of Liouville's theorem in complex function theory to vector-valued functions and see how the formula works within the familiar framework of linear algebra and calculus.
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