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The ideal structure of some Banach algebras

Published online by Cambridge University Press:  24 October 2008

M. Filali
M. Filali
Affiliation:
Department of Mathematics, University of Oulu, 90570, Finland
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Abstract

Let G be a locally compact group and let Ĝ be its character group. Among other results, the minimal left ideals of L∞(G)* and LUC(G)* are all found when G is abelian. The main tool used for this study is the set of (topological) χ-invariant functionals (χ∈Ĝ), defined in this paper.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 111 , Issue 3 , May 1992 , pp. 567 - 576
Copyright
Copyright © Cambridge Philosophical Society 1992

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