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Amenable and Weakly Amenable Banach Algebras with Compact Multiplication

Loy, Richard; Read, Charles; Runde, V; Willis, G


We investigate amenable and weakly amenable Banach algebras with compact multiplication. Any amenable Banach algebra with compact multiplication is biprojective. As a consequence, every semisimple such algebra which has the approximation property is a topological direct sum of full matrix algebras. In the radical case no such structure theorem is at hand. We also investigate Banach algebras which have a bounded approximate identity consisting of normalized powers of an element x. Any such...[Show more]

CollectionsANU Research Publications
Date published: 2000
Type: Journal article
Source: Journal of Functional Analysis
DOI: 10.1006/jfan.1999.3533


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