Level functions and extreme points of the space \(M^ q_{\omega}\) \((1<p<\infty)\) (Q1079779)
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scientific article; zbMATH DE number 3964697
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Level functions and extreme points of the space \(M^ q_{\omega}\) \((1<p<\infty)\) |
scientific article; zbMATH DE number 3964697 |
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Level functions and extreme points of the space \(M^ q_{\omega}\) \((1<p<\infty)\) (English)
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1984
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The fundamental result of this paper refers to the geometric theory of Banach spaces and characterizes the extreme points of the unit ball of the weight space \(M^ q_{\omega}\) \((1<q<\infty)\). It is proved that all the extreme points of the space \(M^ q_{\omega}\) are exhausted by \textit{I. Halperin}'s level functions [Can. J. Math. 5, 273-288 (1953; Zbl 0052.113)].
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Halperin level functions
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extreme points of the unit ball of the weight space
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