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Amenability and ideals in A(G)

Part of: Abstract harmonic analysis Commutative Banach algebras and commutative topological algebras

Published online by Cambridge University Press:  09 April 2009

Brian Forrest
Brian Forrest
Affiliation:
Department of Pure MathematicsUniversity of WaterlooWaterloo Ontario, Canada
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Abstract

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Closed ideals in A(G) with bounded approximate identities are characterized for amenable [SIN]-groups and arbitrary discrete groups. This extends a result of Liu, van Rooij and Wang for abelian groups.

Keywords

Fourier algebraidealbounded approximate identityamenable.

MSC classification

Secondary: 43A07: Means on groups, semigroups, etc.; amenable groups 43A15: $L^p$-spaces and other function spaces on groups, semigroups, etc. 46J10: Banach algebras of continuous functions, function algebras
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 53 , Issue 2 , October 1992 , pp. 143 - 155
Copyright
Copyright © Australian Mathematical Society 1992

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