Extremal structure of convex sets in spaces not containing \(c_ 0\) (Q1822302)
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scientific article; zbMATH DE number 4002801
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extremal structure of convex sets in spaces not containing \(c_ 0\) |
scientific article; zbMATH DE number 4002801 |
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Extremal structure of convex sets in spaces not containing \(c_ 0\) (English)
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1988
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We show that a Banach space X does not contain an isomorphic copy of \(c_ 0\) if and only if in every closed convex bounded set \(C\subset X\) there is a compact \(K\subset C\) such that there is no \(h\in X\), \(h\neq 0\) with \(K\pm h\subset C\).
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extremal structure of convex sets in spaces not containing \(c_ 0\)
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0.8136604428291321
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0.7963554859161377
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0.7958614826202393
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