English

The cluster value problem for Banach spaces

Functional Analysis 2015-11-17 v2

Abstract

The main result is that the cluster value problem in separable Banach spaces, for the Banach algebras AuA_u and HH^{\infty}, can be reduced to the cluster value problem in those spaces which are 1\ell_1 sums of a sequence of finite dimensional spaces.

Keywords

Cite

@article{arxiv.1307.2195,
  title  = {The cluster value problem for Banach spaces},
  author = {William B. Johnson and Sofia Ortega Castillo},
  journal= {arXiv preprint arXiv:1307.2195},
  year   = {2015}
}

Comments

10 pages

R2 v1 2026-06-22T00:47:41.553Z