Automatic continuity for Banach algebras with finite-dimensional radical
- Autores: Hungq Le Pham
- Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 81, Nº 2, 2006, págs. 279-295
- Idioma: inglés
- DOI: 10.1017/s1446788700015883
- Enlaces
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Resumen
The paper \cite{dalesloy1997} proved a necessary algebraic condition for a Banach algebra $A$ with finite-dimensional radical $R$ to have a unique complete (algebra) norm, and conjectured that this condition is also sufficient. We extend the above theorem. The conjecture is confirmed in the case where $A$ is separable and $A/R$ is commutative, but is shown to fail in general. Similar questions for derivations are discussed.
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