Non-regularity for Banach function algebras
| dc.creator | Feinstein, J. F. | |
| dc.creator | Somerset, D. W. B. | |
| dc.date | 1998-11-10 | |
| dc.date | 1999-09-21 | |
| dc.date.accessioned | 2026-07-07T05:26:48Z | |
| dc.date.available | 2026-07-07T05:26:48Z | |
| dc.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. | |
| dc.description | 17 pages plain TeX: expanded introduction and some extra examples | |
| dc.identifier | https://arxiv.org/abs/math/9811063 | |
| dc.identifier | http://arxiv.org/abs/math/9811063 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77689 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46J20 | |
| dc.title | Non-regularity for Banach function algebras | |
| dc.type | text |