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ESSENTIAL AMENABILITY OF ABSTRACT SEGAL ALGEBRAS

Part of: Abstract harmonic analysis

Published online by Cambridge University Press:  13 March 2009

H. SAMEA
H. SAMEA*
Affiliation:
Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran (email: [email protected])
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Abstract

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A number of well-known results of Ghahramani and Loy on the essential amenability of Banach algebras are generalized. It is proved that a symmetric abstract Segal algebra with respect to an amenable Banach algebra is essentially amenable. Applications to locally compact groups are given.

Keywords

derivationamenabilityessential amenabilityabstract Segal algebraSegal algebra

MSC classification

Secondary: 43A20: $L^1$-algebras on groups, semigroups, etc.
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 79 , Issue 2 , April 2009 , pp. 319 - 325
Copyright
Copyright © Australian Mathematical Society 2009

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