Automatic continuity of linear maps on spaces of continuous functions (Q1116408)
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: Automatic continuity of linear maps on spaces of continuous functions |
scientific article; zbMATH DE number 4090157
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Automatic continuity of linear maps on spaces of continuous functions |
scientific article; zbMATH DE number 4090157 |
Statements
Automatic continuity of linear maps on spaces of continuous functions (English)
0 references
1988
0 references
S, T seien kompakte Hausdorffräume. Eine lineare Abbildung A: \({\mathcal C}(T)\to {\mathcal C}(S)\) heißt separierend, wenn für \(x,y\in {\mathcal C}(T)\) mit \(x\cdot y=0\) gilt \(Ax\cdot Ay=0\). Unter gewissen Zusatzbedingungen an T bzw. A wird gezeigt, daß A automatisch stetig ist.
0 references
automatic continuity
0 references
