Module weak Banach-Saks and module Schur properties of Hilbert \(C^*\)-modules (Q2859489)
From MaRDI portal
| File:Ambox important.svg | 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: Module weak Banach-Saks and module Schur properties of Hilbert \(C^*\)-modules |
scientific article; zbMATH DE number 6224007
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Module weak Banach-Saks and module Schur properties of Hilbert \(C^*\)-modules |
scientific article; zbMATH DE number 6224007 |
Statements
8 November 2013
0 references
\(C^*\)-algebras
0 references
Hilbert \(C^*\)-modules
0 references
module Banach-Saks properties
0 references
module Schur property
0 references
self duality
0 references
Module weak Banach-Saks and module Schur properties of Hilbert \(C^*\)-modules (English)
0 references
The authors extend well-known works on the Banach-Saks and Schur properties from the situation of Banach spaces to the situation of certain Banach \(C^*\)-modules.NEWLINENEWLINE For Hilbert \(C^*\)-modules, they introduce some natural module analogues of the weak Banach-Saks and Schur properties and study their potential. Among other things, they prove that finitely generated projective Hilbert modules have the module Banach-Saks property.
0 references
