On Connes amenable-like properties of dual Banach algebras based on w * w^{*} -character space-Reference-Cited by-同舟云学术

On Connes amenable-like properties of dual Banach algebras based on w * w^{*} -character space

Published:2022-06-29 Issue:3 Volume:42 Page:195-204
ISSN:0174-4747
Container-title:Analysis
language:en
Short-container-title:

Author:

Sahami Amir¹,Shariati Seyedeh Fatemeh²,Bodaghi Abasalt³^ORCID

Affiliation:

1. Department of Mathematics , Faculty of Basic Science , Ilam University , P.O. Box 69315-516 Ilam , Iran

2. Department of Mathematics and Computer Science , Amirkabir University of Technology (Tehran Polytechnic) , 424 Hafez Avenue, 15914 Tehran , Iran

3. Department of Mathematics , Garmsar Branch , Islamic Azad University , Garmsar , Iran

Abstract

Abstract In this paper, the concept of left ϕ-approximate Connes amenability for a dual Banach algebra 𝒜

{\mathcal{A}}

is studied, where ϕ is a weak *

{{}^{*}}

-continuous multiplicative linear functional on 𝒜

{\mathcal{A}}

. Some characterizations for module extension dual Banach algebras and matrix algebras are given. Moreover, the notion of approximate left ϕ-Connes biprojectivity for dual Banach algebras is introduced and some concrete examples regarding this new notion are indicated.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anly-2021-1026/pdf

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