The retraction of certain banach right modules associated to a character-Reference-Cited by-同舟云学术

The retraction of certain banach right modules associated to a character

Published:2019-07-19 Issue:4 Volume:69 Page:891-900
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Dashti Mahshid¹,Renani Sima Soltani²

Affiliation:

1. Department of Mathematical Sciences and Statistics , Malayer University , 65719-95863 , Malayer , Iran

2. Department of Mathematical Sciences , Isfahan University of Technology , 84156-83111 , Isfahan , Iran

Abstract

Abstract Let 𝓐 be a Banach algebra and let 𝓜 be a unital Banach algebra. For a homomorphism Φ from 𝓐 into 𝓜, we consider 𝓜 as a Banach right 𝓐-module and investigate when 𝓜 is a retract of 𝓐 with respect to Φ. We also give characterizations of admitting vector-valued invariant Φ-means in terms of projectivity and injectivity. Finally, we apply these results to abstract Segal algebras.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0260/pdf

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