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COHOMOLOGICAL CHARACTERIZATIONS OF CHARACTER PSEUDO-AMENABLE BANACH ALGEBRAS

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

Published online by Cambridge University Press:  21 July 2011

RASOUL NASR-ISFAHANI  and
MEHDI NEMATI
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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For a Banach algebra 𝒜 and a character ϕ on 𝒜, we have recently introduced and studied the notion of ϕ-pseudo-amenability of 𝒜. Here, we give some characterizations of this notion in terms of derivations from 𝒜 into various Banach 𝒜-bimodules.

Keywords

Banach algebrapseudo-amenableapproximate diagonalϕ-pseudo-amenable

MSC classification

Secondary: 46H05: General theory of topological algebras
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 84 , Issue 2 , October 2011 , pp. 229 - 237
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

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