Banach algebras with bounded groups of generators, and the Schur property (Q1810119)
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: Banach algebras with bounded groups of generators, and the Schur property |
scientific article; zbMATH DE number 1928208
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Banach algebras with bounded groups of generators, and the Schur property |
scientific article; zbMATH DE number 1928208 |
Statements
Banach algebras with bounded groups of generators, and the Schur property (English)
0 references
15 June 2003
0 references
This note deals with commutative Banach algebras \(A\) with bounded groups of generators. Along with other results, the author shows that if \({\mathcal A}^*\) has the Schur property, then the Gelfand space \(\Sigma_{\mathcal A}\) of the algebra \({\mathcal A}\) is scattered. Moreover, he shows that in this case \({\mathcal A}^*\) has the Radon-Nikodym property.
0 references
commutative Banach algebras
0 references
Gelfand space
0 references
Radon-Nikodym property
0 references
0.7611297965049744
0 references
0.748052716255188
0 references
