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Maximal ideals and the structure of contractible and amenable Banach algebras

Published online by Cambridge University Press:  17 April 2009

Yong Zhang
Yong Zhang
Affiliation:
Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada, e-mail: [email protected]
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Abstract

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Properties of minimal idempotents in contractible and reflexive amenable Banach algebras are exploited to prove that such a kind of Banach algebra is finite demensional if each maximal ideal is contained in a maximal left or a maximal right ideal that is complemented as a Banach subspace. This result covers several known results on this subject.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 62 , Issue 2 , October 2000 , pp. 221 - 226
Copyright
Copyright © Australian Mathematical Society 2000

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