φ-Multipliers on Banach Algebras and Topological Modules
We prove some results concerning Arens regularity and amenability of the Banach algebra MφA 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 topol...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/951021 |
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| Summary: | We prove some results concerning Arens regularity and amenability of the Banach algebra MφA 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 MφA. A characterization of φ-multipliers on L1G-module LpG, where G is a compact group, is given. |
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| ISSN: | 1085-3375 1687-0409 |