A remark on a theorem of Howard (Q5901007)
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scientific article; zbMATH DE number 5735142
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on a theorem of Howard |
scientific article; zbMATH DE number 5735142 |
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A remark on a theorem of Howard (English)
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9 July 2010
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This paper shows that Eberlein's theorem holds for the Mackey\(^*\) topology in the dual \(X^*\) of a Banach space (and generalizes to a Fréchet locally convex space and to a locally convex space). It also shows that, in general, the space \(X^*\) endowed with the Mackey\(^*\) topology is not angelic.
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weak compactness
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Eberlin-Šmulyan theorem
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angelic spaces
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Mackey topology
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