The cluster value problem for banach spaces Academic Article uri icon

abstract

  • © 2015 University of Illinois. The main result is that the cluster value problem in separable Banach spaces, for the Banach algebras Auand H∞, can be reduced to the cluster value problem in those spaces which are ℓ1sums of a sequence of finite dimensional spaces. In particular, we prove that the cluster value problem for ℓ1is equivalent to the cluster value problem for L1(0, 1).

author list (cited authors)

  • Johnson, W. B., & Castillo, S. O.

publication date

  • June 2014