𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Structure of Amenable Banach Algebras

✍ 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

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Amenable Banach algebras
✍ A. Ya. Khelemskii; M. V. Sheinberg πŸ“‚ Article πŸ“… 1979 πŸ› Springer US 🌐 English βš– 581 KB
Embedding Nilpotent Finite Dimensional B
✍ Niels GrΓΈnbΓ¦k; George A. Willis πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 307 KB

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

Amenable and Weakly Amenable Banach Alge
✍ 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.