On local convexity of bounded weak topologies on Banach spaces (Q802107)
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scientific article; zbMATH DE number 3881286
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On local convexity of bounded weak topologies on Banach spaces |
scientific article; zbMATH DE number 3881286 |
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On local convexity of bounded weak topologies on Banach spaces (English)
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1984
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This paper is devoted to the question ''Under what conditions on a Banach space E is it true that the bounded weak topology is locally convex?''. The theorem of Banach and Dieudonné shows that reflexivity is a sufficient condition. The author proves that reflexivity is also a necessary condition.
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local convexity
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bounded weak topology
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theorem of Banach and Dieudonné
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reflexivity
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