Weakly continuous mappings into Banach spaces (Q2720941)
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scientific article; zbMATH DE number 1611742
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weakly continuous mappings into Banach spaces |
scientific article; zbMATH DE number 1611742 |
Statements
1 July 2001
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Banach space
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weakly continuous mapping
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\(\sigma\)-fragmentability of Banach spaces
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fragmentability of topological spaces
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0.9584376
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0.9422353
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0.9218804
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0.9199276
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Weakly continuous mappings into Banach spaces (English)
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The authors characterize the Banach spaces \(E\) for which every continuous mapping \(f:Z\rightarrow (E\), weak) defined in an \(\alpha\)-favourable space \(Z\) must be norm-continuous at the points of a dense \(G_{\delta}\) subset of \(Z\). This characterization is done by means of a topological game used earlier in investigating the fragmentability of topological spaces and \(\sigma\)-fragmentability of Banach spaces.
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