Convex compactness property in certain spaces of measures (Q1819322)
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: Convex compactness property in certain spaces of measures |
scientific article; zbMATH DE number 3992185
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convex compactness property in certain spaces of measures |
scientific article; zbMATH DE number 3992185 |
Statements
Convex compactness property in certain spaces of measures (English)
0 references
1987
0 references
Let X be a completely regular Hausdorff space, E a Banach space, \(C_ b(X,E)\) all bounded continuous E-valued functions on E, and \(\beta,\beta _ 1\) the strict topologies on \(C_ b(X,E)\). It is proved that \((C_ b(X,E),\beta _ 1)\) is strongly Mackey and (F',\(\sigma\) (F',F)) has convex compactness property, where \(F=(C_ b(X,E),\beta)\).
0 references
completely regular Hausdorff
0 references
strict topologies
0 references
strongly Mackey
0 references
convex compactness property
0 references
