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φ‐Multipliers on Banach Algebras and Topological Modules

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  • Marjan Adib

Abstract

We prove some results concerning Arens regularity and amenability of the Banach algebra Mφ(A) of all φ‐multipliers on a given Banach algebra A. We also consider φ‐multipliers in the general topological module setting and investigate some of their properties. We discuss the φ‐strict and φ‐uniform topologies on Mφ(A). A characterization of φ‐multipliers on L1(G)‐module Lp(G), where G is a compact group, is given.

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Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:951021
DOI: 10.1155/2015/951021
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