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WEAK FORMS OF AMENABILITY FOR BANACH ALGEBRAS

Part of: Topological algebras, normed rings and algebras, Banach algebras

Published online by Cambridge University Press:  30 November 2011

H. SAMEA
H. SAMEA*
Affiliation:
Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran (email: h.samea@basu.ac.ir)
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Abstract

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In this paper, the amenability and approximate amenability of weighted ℓp-direct sums of Banach algebras with unit, where 1≤p<∞, are completely characterized. Applications to compact groups and hypergroups are given.

Keywords

amenable Banach algebraapproximately amenable Banach algebracompact groupcompact hypergroup

MSC classification

Secondary: 46H20: Structure, classification of topological algebras
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 85 , Issue 3 , June 2012 , pp. 509 - 517
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

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