Amenable and weakly amenable Banach algebras with compact multiplication (Q1971931)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Amenable and weakly amenable Banach algebras with compact multiplication |
scientific article; zbMATH DE number 1423453
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Amenable and weakly amenable Banach algebras with compact multiplication |
scientific article; zbMATH DE number 1423453 |
Statements
Amenable and weakly amenable Banach algebras with compact multiplication (English)
0 references
28 August 2000
0 references
The authors investigate amenable and weakly amenable Banach algebras wich have compact multiplication. Several results are obtained; in particular it is proved that a semisimple amenable Banach algebra with compact multiplication and with the approximation property is a topological direct sum of full matrix algebras. A new example of a commutative, weakly amenable, non-amenable, radical Banach algebra is given.
0 references
amenable Banach algebras
0 references
radical Banach algebras
0 references
compact multiplication
0 references
topological direct sum of full matrix algebras
0 references
0 references
