Non-regularity for Banach function algebras

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let $A$ be a unital Banach function algebra with character space $Φ_A$. For $x\in Φ_A$, let $M_x$ and $J_x$ be the ideals of functions vanishing at $x$, and in a neighbourhood of $x$, respectively. It is shown that the hull of $J_x$ is connected, and that if $x$ does not belong to the Shilov boundary of $A$ then the set $\{y\inΦ_A: M_x\supseteq J_y\}$ has an infinite, connected subset. Various related results are given.
17 pages plain TeX: expanded introduction and some extra examples

Keywords

Functional Analysis, 46J20

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/77689

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9811063
 http://arxiv.org/abs/math/9811063

Collections

arXiv