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Pseudo-amenable and pseudo-contractible Banach algebras

Published online by Cambridge University Press:  12 February 2007

F. GHAHRAMANI  and
Y. ZHANG
F. GHAHRAMANI
Affiliation:
Department of Matematics, University of Manitoba, Winnipeg R3T 2N2, Canada. e-mail: fereidou@cc.umanitoba.ca, zhangy@cc.umanitoba.ca
Y. ZHANG
Affiliation:
Department of Matematics, University of Manitoba, Winnipeg R3T 2N2, Canada. e-mail: fereidou@cc.umanitoba.ca, zhangy@cc.umanitoba.ca
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Abstract

We introduce and study two new notions of amenability for Banach algebras. In particular we compare these notions with some of those studied earlier. We show that several classes of Banach algebras, including certain Banach algebras related to locally compact groups, are responsive to these notions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 142 , Issue 1 , January 2007 , pp. 111 - 123
Copyright
Copyright © Cambridge Philosophical Society 2007

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