An analogue of the Kreĭn-Milman theorem for a strongly convex hull in a Hilbert space (Q1810047)
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scientific article; zbMATH DE number 1928146
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An analogue of the Kreĭn-Milman theorem for a strongly convex hull in a Hilbert space |
scientific article; zbMATH DE number 1928146 |
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An analogue of the Kreĭn-Milman theorem for a strongly convex hull in a Hilbert space (English)
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15 June 2003
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The paper is devoted to proving the following theorem: in Hilbert space a closed bounded set is contained in the strongly convex \(R\)-hull of its \(R\)-strong extreme points. By definition, \(R\)-strong extreme points are a subset of the set of extreme points (it may happen that these two sets do not coincide); the strongly convex \(R\)-hull of a set contains the closure of the convex hull of the set.
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Krein-Milman theorem
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strongly convex \(R\)-hull
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\(R\)-strong extreme points
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