Some remarks on the Krein-Milman property and lexicographic maxima (Q795279)
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scientific article; zbMATH DE number 3861797
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some remarks on the Krein-Milman property and lexicographic maxima |
scientific article; zbMATH DE number 3861797 |
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Some remarks on the Krein-Milman property and lexicographic maxima (English)
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1983
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A Banach space has the lexicographic property if each bounded closed convex subset C is the closed convex hull of the lexicographic maxima of C. The author studies the relation between this property and the Radon- Nikodym and Krein-Milman properties. The author gave an example in \((\ell^ 1)^*\) showing that \(L^ p\) is not KMP.
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lexicographic property
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Radon-Nikodym and Krein-Milman properties
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