Mackey-Arens theorem for spatial scales (Q2759364)
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: Mackey-Arens theorem for spatial scales |
scientific article; zbMATH DE number 1681777
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mackey-Arens theorem for spatial scales |
scientific article; zbMATH DE number 1681777 |
Statements
12 December 2001
0 references
scales of spaces
0 references
topologies
0 references
duality
0 references
vector space
0 references
topologies compatible with the duality
0 references
Mackey-Arens theorem
0 references
Mackey-Arens theorem for spatial scales (English)
0 references
The Mackey-Arens theorem on the topologies compatible with the duality is transferred to the duality of inductive scales of spaces. It develops the Mackey problem in classical duality theory which consists in a full description of all locally convex topologies \(t (E,F)\) on the vector space \(E\) compatible with the duality \(\langle E,F\rangle\), i.e. such that \((E,t(E,F))^* \approx F\).
0 references
0.7561730146408081
0 references
0.7440826296806335
0 references
