Spectral preservers in Commutative Banach Algebras

Authors

Thomas Tonev, Department of Mathematical Sciences, University of Montana

Document Type

Presentation Abstract

Presentation Date

11-8-2010

Abstract

A spectral preserver is a map between Banach algebras such that some properties or objects connected with the spectra of algebra elements are invariant under its action. Though such maps have been studied extensively in the operator algebra setting, only during the last decade have they been systematically analyzed in commutative Banach algebras.

This talk is a survey of recent investigations on spectral preserver problems in commutative Banach algebras, including some history, basic results, future directions and open problems.

Additional Details

Monday, 8 November 2010
3:10 p.m. in Math 103
4:00 p.m. Refreshments in Math Lounge 109

Recommended Citation

Tonev, Thomas, "Spectral preservers in Commutative Banach Algebras" (2010). Colloquia of the Department of Mathematical Sciences. 362.
https://scholarworks.umt.edu/mathcolloquia/362