English

Weak Sequential Completeness of Uniform Algebras

Functional Analysis 2023-07-04 v3 Complex Variables

Abstract

We give a simple, elementary proof that a uniform algebra is weakly sequentially complete if and only if it is finite-dimensional.

Keywords

Cite

@article{arxiv.2005.02917,
  title  = {Weak Sequential Completeness of Uniform Algebras},
  author = {J. F. Feinstein and Alexander J. Izzo},
  journal= {arXiv preprint arXiv:2005.02917},
  year   = {2023}
}

Comments

A section has been added discussing some additional related results in the literature and expository improvements have been made

R2 v1 2026-06-23T15:21:29.299Z