A note on ideal spaces of Banach Algebras
| dc.creator | Feinstein, J. F. | |
| dc.creator | Somerset, D. W. B. | |
| dc.date | 1998-09-16 | |
| dc.date.accessioned | 2026-07-07T05:26:02Z | |
| dc.date.available | 2026-07-07T05:26:02Z | |
| dc.description | In a previous paper the second author introduced a compact topology on the space of closed ideals of a unital Banach algebra A. If A is separable then this topology is either metrizable or else neither Hausdorff nor first countable. Here it is shown that this topology is Hausdorff if A is the algebra of once continuously differentiable functions on an interval, but that if A is a uniform algebra then this topology is Hausdorff if and only if A has spectral synthesis. An example is given of a strongly regular, uniform algebra for which every maximal ideal has a bounded approximate identity, but which does not have spectral synthesis. | |
| dc.description | 9 pages plain tex | |
| dc.identifier | https://arxiv.org/abs/math/9809085 | |
| dc.identifier | http://arxiv.org/abs/math/9809085 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77404 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46H10 | |
| dc.title | A note on ideal spaces of Banach Algebras | |
| dc.type | text |