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ON $\varphi $-AMENABILITY OF DUAL BANACH ALGEBRAS

Part of: Abstract harmonic analysis Topological algebras, normed rings and algebras, Banach algebras

Published online by Cambridge University Press:  09 July 2021

ALIREZA JABERI Open the ORCID record for ALIREZA JABERI [Opens in a new window]  and
AMIN MAHMOODI Open the ORCID record for AMIN MAHMOODI [Opens in a new window]
ALIREZA JABERI
Affiliation:
Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran e-mail: alirezajaberii1350@gmail.com
AMIN MAHMOODI*
Affiliation:
Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
*
e-mail: a_mahmoodi@iauctb.ac.ir
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Abstract

Generalising the concept of injectivity, we study the notion of $\varphi $ -injectivity for dual Banach algebras. It provides a framework for studying $\varphi $ -amenability of enveloping dual Banach algebras.

Keywords

φ-amenabilityφ-injectivitydual Banach algebras

MSC classification

Primary: 46H25: Normed modules and Banach modules, topological modules (if not placed in or )
Secondary: 43A07: Means on groups, semigroups, etc.; amenable groups
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 105 , Issue 2 , April 2022 , pp. 303 - 313
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Copyright
© 2021 Australian Mathematical Publishing Association Inc.

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