This is an announcement for the paper "The cluster value problem in spaces of continuous functions" by William B. Johnson and Sofia Ortega Castillo.

Abstract: We study the cluster value problem for certain Banach algebras of holomorphic functions defined on the unit ball of a complex Banach space X. The main results are for spaces of the form X = C(K).

Archive classification: math.FA math.CV

Mathematics Subject Classification: Several complex variables and analytic spaces, Functional

Submitted from: ortega@math.tamu.edu

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1211.2339

or

http://arXiv.org/abs/1211.2339