Some applications of the lattice finite representability in spaces of measurable functions (Q2776892)
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scientific article; zbMATH DE number 1716879
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some applications of the lattice finite representability in spaces of measurable functions |
scientific article; zbMATH DE number 1716879 |
Statements
28 January 2004
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Bochner spaces
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operator ideals
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integral operators
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ultraproducts of spaces
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Some applications of the lattice finite representability in spaces of measurable functions (English)
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This is a study of lattice representability of the Bochner space \(L_p(\mu_1, L_q(\mu_2))\) in \(\ell_p\{\ell_q\}\), \(1\leq p\), \(q<\infty\). The ideal of the operators which factor through a lattice homomorphism between \(L_\infty (\mu)\) and \(L_p(\mu_1, L_q(\mu_2))\) is characterized.
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