Support points for closed convex sets (Q2761897)
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: Support points for closed convex sets |
scientific article; zbMATH DE number 1686474
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Support points for closed convex sets |
scientific article; zbMATH DE number 1686474 |
Statements
7 January 2002
0 references
closed convex set
0 references
boundary
0 references
extreme set
0 references
nearest point-map
0 references
support point
0 references
Support points for closed convex sets (English)
0 references
The authors of this very short paper consider a closed convex subset \(C\) of Hilbert space \(H\) with the nearest point-map of \(C\). The main result is that if \(K\) is any compact set containing \(C\) in its interior and \(int\) \(C\) is nonempty, then \(p(K)\) is the set of support points of \(C\).
0 references
