Boundaries in Functional Analysis

Authors

Jeff Johnson, PhD Candidate, The University of Montana

Document Type

Presentation Abstract

Presentation Date

2-25-2013

Abstract

The notion of boundary is ubiquitous throughout mathematics. The most familiar definitions of the concept come from geometry and point-set topology, but boundary has somewhat different definitions in other areas. In functional analysis, and the theory of commutative Banach algebras in particular, the boundary is defined in terms of the functions on a carrier space and not just the space itself. The talk will give an introduction to two of the most common boundaries found in commutative Banach algebras, the Shilov boundary and Choquet boundary.

Additional Details

Monday, 25 February 2013
3:10 p.m. in Math 103
4:00 p.m. Refreshments in Math Lounge 109

Recommended Citation

Johnson, Jeff, "Boundaries in Functional Analysis" (2013). Colloquia of the Department of Mathematical Sciences. 419.
https://scholarworks.umt.edu/mathcolloquia/419