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(sigma )-Approximately module amenable Banach algebras

✍ Scribed by Momeni, Maryam; Yazdanpanah, Taher


Book ID
125386373
Publisher
Springer-Verlag
Year
2014
Tongue
English
Weight
219 KB
Volume
8
Category
Article
ISSN
2251-7456

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πŸ“œ SIMILAR VOLUMES


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✍ A. Ya. Khelemskii; M. V. Sheinberg πŸ“‚ Article πŸ“… 1979 πŸ› Springer US 🌐 English βš– 581 KB
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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

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✍ R.J. Loy; C.J. Read; V. Runde; G.A. Willis πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 324 KB

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.