\(\varphi\)-multipliers on Banach algebras and topological modules
type: Item
instance of: scholarly article
title: \(\varphi\)-multipliers on Banach algebras and topological modules
zbMATH Open document ID: 1350.46035
DOI: 10.1155/2015/951021
author: Marjan Adib
published in: Abstract and Applied Analysis
publication date: 2016-08-26T00:00:00Z
review text: Summary: We prove some results concerning Arens regularity and amenability of the Banach algebra \(M_\varphi (A)\) of all \(\varphi\)-multipliers on a given Banach algebra \(A\). We also consider \(\varphi\)-multipliers in the general topological module setting and investigate some of their properties. We discuss the \(\varphi\)-strict and \(\varphi\)-uniform topologies on \(M_\varphi (A)\). A characterization of \(\varphi\)-multipliers on \(L_1 (G)\)-module \(L_p (G)\), where \(G\) is a compact group, is given.
Mathematics Subject Classification ID: 46H25
Mathematics Subject Classification ID: 47B48
zbMATH DE Number: 6619917
zbMATH Keywords: Arens regularity
zbMATH Keywords: amenability
zbMATH Keywords: \(\varphi\)-multipliers
Wikidata QID: Q59101464
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/951021
OpenAlex ID: W2058121443
cites work: Multipliers of Banach algebras
cites work: Multipliers of commutative Banach algebras
cites work: Isomorphisms and Isometric Multipliers
cites work: Q5192169
cites work: Q3989696
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cites work: Lectures on amenability
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cites work: Factorization in Banach Algebras and the General Strict Topology
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description: scientific article; zbMATH DE number 6619917