The structure of a subclass of amenable banach algebras

R. El Harti

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-7

Abstract:

We give sufficient conditions that allow contractible (resp., reflexive amenable) Banach algebras to be finite-dimensional and semisimple algebras. Moreover, we show that any contractible (resp., reflexive amenable) Banach algebra in which every maximal left ideal has a Banach space complement is indeed a direct sum of finitely many full matrix algebras. Finally, we characterize Hermitian * -algebras that are contractible.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:819024

DOI: 10.1155/S0161171204401069

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