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ON n-IDEAL AMENABILITY OF CERTAIN BANACH ALGEBRAS

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

Published online by Cambridge University Press:  08 December 2011

ZEINAB KAMALI  and
MEHDI NEMATI
ZEINAB KAMALI*
Affiliation:
Department of Mathematical Sciences, Islamic Azad University, Khorasgan branch, Isfahan, Iran (email: zkamali@ualberta.ca)
MEHDI NEMATI
Affiliation:
Department of Mathematics, Faculty of Science, University of Kashan, Kashan 87317-51167, Iran (email: m.nemati@math.iut.ac.ir)
*
✉For correspondence; e-mail: ze.kamali@sci.ui.ac.ir
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Abstract

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In this paper we consider some notions of amenability such as ideal amenability, n-ideal amenability and approximate n-ideal amenability. The first two were introduced and studied by Gordji, Yazdanpanah and Memarbashi. We investigate some properties of certain Banach algebras in each of these classes. Results are also given for Segal algebras on locally compact groups.

Keywords

Banach algebran-ideal amenabilityabstract Segal algebra

MSC classification

Secondary: 46H05: General theory of topological algebras
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 86 , Issue 1 , August 2012 , pp. 90 - 99
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

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