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CHARACTER AMENABILITY AND CONTRACTIBILITY OF ABSTRACT SEGAL ALGEBRAS

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

Published online by Cambridge University Press:  04 August 2010

MAHMOOD ALAGHMANDAN ,
RASOUL NASR-ISFAHANI  and
MEHDI NEMATI
MAHMOOD ALAGHMANDAN
Affiliation:
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran (email: m.alaghmandan@math.iut.ac.ir)
RASOUL NASR-ISFAHANI*
Affiliation:
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran (email: isfahani@cc.iut.ac.ir)
MEHDI NEMATI
Affiliation:
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran (email: m.nemati@math.iut.ac.ir)
*
✉For correspondence; e-mail: isfahani@cc.iut.ac.ir
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Abstract

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Let ℬ be an abstract Segal algebra with respect to 𝒜. For a nonzero character ϕ on 𝒜, we study ϕ-amenability, and ϕ-contractibility of 𝒜 and ℬ. We then apply these results to abstract Segal algebras related to locally compact groups.

Keywords

character amenableabstract Segal algebra

MSC classification

Secondary: 46H05: General theory of topological algebras
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 82 , Issue 2 , October 2010 , pp. 274 - 281
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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