On weak topology of Orlicz spaces (Q1332990)
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scientific article; zbMATH DE number 633977
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On weak topology of Orlicz spaces |
scientific article; zbMATH DE number 633977 |
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On weak topology of Orlicz spaces (English)
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5 January 1995
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First, this paper gives the criteria for a singular functional on an Orlicz space to be norm attainable and to be an extreme point of the unit ball of the dual space, then, applying Rainwater's theorem, obtains criteria for weak convergence and weak compactness in the space.
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singular functional
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Orlicz space
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norm attainable
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extreme point
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Rainwater's theorem
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weak convergence
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weak compactness
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