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Multilinear operators and weighted \(l_ 1\) norms - MaRDI portal

Multilinear operators and weighted \(l_ 1\) norms (Q1373305)

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scientific article; zbMATH DE number 1089486
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Multilinear operators and weighted \(l_ 1\) norms
scientific article; zbMATH DE number 1089486

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    Multilinear operators and weighted \(l_ 1\) norms (English)
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    18 November 1997
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    Let \(V\) be a finite-dimensional vector space equipped with a weighted \(\ell_1\) norm \(N\). The authors prove necessary and sufficient conditions for the multiplicativity and Jordan-multiplicativity (with respect to \(N\)) of an \(m\)-linear operator on \(V\).
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    multilinear operators
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    weighted \(\ell_ 1\) norms
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    Jordan-multiplicativity
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    \(m\)-linear operator
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