Weakly Compact Homomorphisms and Semigroups in Banach Algebras
β Scribed by Gale, J. E.
- Book ID
- 120094807
- Publisher
- Oxford University Press
- Year
- 1992
- Tongue
- English
- Weight
- 300 KB
- Volume
- s2-45
- Category
- Article
- ISSN
- 0024-6107
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π SIMILAR VOLUMES
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.
This paper is a contribution to the theory of weakly sequentially complete Banach algebras A. We require them to have bounded approximate identities and, for the most part, to be ideals in their second duals, so that examples are the group algebras L 1 (G) for compact groups G or the Fourier algebra