### The Cluster Value Problem for Banach Spaces

- Series
- Analysis Seminar
- Time
- Wednesday, November 20, 2013 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Sofia Ortega Castillo – Texas A&amp;M University

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.