On the Banach-Saks property (Q1080110)
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scientific article; zbMATH DE number 3967071
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Banach-Saks property |
scientific article; zbMATH DE number 3967071 |
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On the Banach-Saks property (English)
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1984
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The main result is stated as follows: Let X be a Banach space with a uniformly convex conjugate space \(X^*\). Then X possesses the Banach-Saks property. After we have proved the above theorem, we find the following result due to \textit{P. Enflo} [J. Math. 13(1972), 281-288 (1973; Zbl 0259.46012)]. For a Banach space X with a conjugate space \(X^*\), X is uniformly convexifiable if and only if \(X^*\) is uniformly convexifiable.
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Banach space with a uniformly convex conjugate space
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Banach-Saks property
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