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The structure of a subclass of amenable banach algebras

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  • R. El Harti

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.

Suggested Citation

  • R. El Harti, 2004. "The structure of a subclass of amenable banach algebras," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-7, January.
    • Handle: RePEc:hin:jijmms:819024
    DOI: 10.1155/S0161171204401069
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