Every weakly compact set can be uniformly embedded into a reflexive Banach space (Q839732)
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scientific article; zbMATH DE number 5601607
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Every weakly compact set can be uniformly embedded into a reflexive Banach space |
scientific article; zbMATH DE number 5601607 |
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Every weakly compact set can be uniformly embedded into a reflexive Banach space (English)
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3 September 2009
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The authors prove that every weakly compact subset of a Banach space can be uniformly embedded into a reflexive Banach space. Reviewer's remark. This corollary of the well-known Davis-Figiel-Johnson-Pełczyński theorem was noted also by \textit{Y.\,Benyamini} and \textit{T.\,Starbird} [Isr.\ J.\ Math.\ 23, 137--141 (1976; Zbl 0325.46023)].
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Banach space
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weakly compact set
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renorming
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