Normal structure of Orlicz spaces (Q1322681)
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scientific article; zbMATH DE number 563421
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Normal structure of Orlicz spaces |
scientific article; zbMATH DE number 563421 |
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Normal structure of Orlicz spaces (English)
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17 November 1994
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The author summarizes results concerning Orlicz spaces and (weak) sum- property or (weak) normal structure. These concepts are powerful tools in fixed point theory, e.g., Banach spaces with weak normal structure have the fixed point property. The results arise out of the following works: 1. \textit{T. Landes} [Trans. Am. Math. Soc. 285, 523-534 (1984; Zbl 0594.46010)] 2. \textit{T. Wang} and \textit{B. Wang} [`Normal structure, sum-property, and LD property of sequence Orlicz spaces' Chin. Math. Res. Expo. 12 (1992)] 3. \textit{S. Chen} and \textit{Y. Duan} [Commentat. Math. Univ. Carol. 32, 219-225 (1991; Zbl 0760.46023)] 4. \textit{S. Chen} and \textit{H. Sun}, [Reflexive Orlicz spaces have uniformly normal structure' (1992, to appear)] 5. \textit{T. Wang} and \textit{Z. Shi} [Commentat. Math. Univ. Carol. 34, No. 3, 433-442 (1993)].
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weak sum-property
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Orlicz spaces
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fixed point theory
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weak normal structure
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fixed point property
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