Orlicz spaces of essentially bounded functions and Banach-Orlicz algebras (Q1067170)
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scientific article; zbMATH DE number 3927650
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orlicz spaces of essentially bounded functions and Banach-Orlicz algebras |
scientific article; zbMATH DE number 3927650 |
Statements
Orlicz spaces of essentially bounded functions and Banach-Orlicz algebras (English)
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1985
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There are characterized all pairs [\(\Phi\),\(\mu\) ], where \(\Phi\) is a convex Orlicz function and \(\mu\) is a \(\sigma\)-finite, positive measure, for which \(L^{\Phi}(\mu)=L^{\infty}(\mu)\) and all these pairs that \(L^{\Phi}(\mu)\) are Banach quasi-algebras (or Banach algebras) under pointwise multiplication of functions. A characterization of Orlicz spaces that are F-algebras under pointwise multiplication of functions is given too.
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essentially bounded function
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convex Orlicz function
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Banach quasi- algebras
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characterization of Orlicz spaces that are F-algebras under
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pointwise multiplication
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characterization of Orlicz spaces that are F- algebras under pointwise multiplication
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