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Maximal ideals and the structure of contractible and amenable Banach algebras
Published online by Cambridge University Press: 17 April 2009
Abstract
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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