Multiplication operators in Köthe-Bochner spaces (Q710939)
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scientific article; zbMATH DE number 5804464
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplication operators in Köthe-Bochner spaces |
scientific article; zbMATH DE number 5804464 |
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Multiplication operators in Köthe-Bochner spaces (English)
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22 October 2010
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Let \(E\) be a Banach function space over a finite measure space \((\Omega,\Sigma,\mu)\). The authors investigate operators of multiplication by functions from \(L^{\infty}(\mu)\) acting in the Köthe-Bochner spaces \(E(X)\) and obtain some characterization of these operators.
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multiplication operator
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Köthe-Bochner space
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Lebesgue-Bochner space
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Pettis integrable function
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Pettis norm
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