On property \((\beta)\) in Banach lattices, Calderón-Lozanowskiĭ and Orlicz-Lorentz spaces (Q5949625)
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scientific article; zbMATH DE number 1676099
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On property \((\beta)\) in Banach lattices, Calderón-Lozanowskiĭ and Orlicz-Lorentz spaces |
scientific article; zbMATH DE number 1676099 |
Statements
On property \((\beta)\) in Banach lattices, Calderón-Lozanowskiĭ and Orlicz-Lorentz spaces (English)
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16 September 2002
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The author considers the Rolewicz property \((\beta)\) and the related geometrical characteristics. The following results are typical: property \((\beta)\) implies uniform monotonicity in Banach function lattices; and property \((\beta)\) amounts to uniform convexity in Orlicz-Lorentz spaces.
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Banach lattice
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Rolewicz property \((\beta)\)
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Calderón-Lozanowskiĭ spaces
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uniform monotonicity
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Banach function lattices
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uniform convexity
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Orlicz-Lorentz spaces
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