The Cluster Value Problem for Banach Spaces

Analysis Seminar
Wednesday, November 20, 2013 - 3:00pm for 1 hour (actually 50 minutes)
Skiles 005
Sofia Ortega Castillo – Texas A&M University
Brett Wick
I will introduce the cluster value problem, and its relation to the Corona problem, in the setting of Banach algebras of analytic functions on unit balls. Then I will present a reduction of the cluster value problem in separable Banach spaces, for the algebras $A_u$ and $H^{\infty}$, to those spaces that are $\ell_1$ sums of a sequence of finite dimensional spaces. This is joint work with William B. Johnson.