Selections of lower semicontinuous mappings into Hilbert spaces (Q2704748)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Selections of lower semicontinuous mappings into Hilbert spaces |
scientific article |
Statements
12 March 2001
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semicontinuous mapping
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Hilbert space
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Selections of lower semicontinuous mappings into Hilbert spaces (English)
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It is proved that a lower semicontinuous, closed-and-convex valued mapping \( \Phi: X \rightarrow 2^{Y} \), \( X \) being a normal countably paracompact space containing no uncountable discrete subsets, \(Y\) being a Hilbert space, has a single-valued continuous selection. An example is given as well.
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