Preserved extreme points (Q1074816)
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scientific article; zbMATH DE number 3948995
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Preserved extreme points |
scientific article; zbMATH DE number 3948995 |
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Preserved extreme points (English)
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1985
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An extreme point of the unit ball in a Banach space X is said to be preserved if its image under the canonical mapping from X into its second dual \(X^{**}\) is an extreme point of the unit ball in \(X^{**}\). The author proves that X is reflexive if and only if every extreme point of its unit ball is preserved in each equivalent norm.
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extreme point of the unit ball in a Banach space
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reflexive
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