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On ϕ-amenability of Banach algebras

Published online by Cambridge University Press:  01 January 2008

EBERHARD KANIUTH ,
ANTHONY T. LAU  and
JOHN PYM
EBERHARD KANIUTH
Affiliation:
Institut für Mathematik, Universität Paderborn, D-33095 Paderborn, Germany. e-mail: kaniuth@math.uni-paderborn.de
ANTHONY T. LAU
Affiliation:
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada T6G 2G1. e-mail: tlau@math.ualberta.ca
JOHN PYM
Affiliation:
Department of Mathematics, University of Sheffield, Sheffield S3 7RH. e-mail: j.pym@sheffield.ac.uk
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Abstract

Generalizing the notion of left amenability for so-called F-algebras [12], we study the concept of ϕ-amenability of a Banach algebra A, where ϕ is a homomorphism from A to ℂ. We establish several characterizations of ϕ-amenability as well as some hereditary properties. In addition, some illuminating examples are given.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 144 , Issue 1 , January 2008 , pp. 85 - 96
Copyright
Copyright © Cambridge Philosophical Society 2008

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