The Structure of Amenable Banach Algebras
β Scribed by Curtis, P. C.; Loy, R. J.
- Book ID
- 120095892
- Publisher
- Oxford University Press
- Year
- 1989
- Tongue
- English
- Weight
- 367 KB
- Volume
- s2-40
- Category
- Article
- ISSN
- 0024-6107
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π SIMILAR VOLUMES
We prove that any finite dimensional nilpotent commutative Banach algebra can be embedded isometrically into a commutative amenable Banach algebra, whose approximate diagonal is bounded by one. This amenable algebra is constructed by means of a quotient of a Fourier algebra by a closed ideal, whose
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.