Nuclear multilinear operators with respect to a Banach ideal of multilinear functionals (Q891530)
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scientific article; zbMATH DE number 6509649
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nuclear multilinear operators with respect to a Banach ideal of multilinear functionals |
scientific article; zbMATH DE number 6509649 |
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Nuclear multilinear operators with respect to a Banach ideal of multilinear functionals (English)
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17 November 2015
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The origin of nuclear (linear) operators dates back to Grothendieck's classical Résumé. In this paper, the author introduces the concept of \(p\)-nuclear multilinear operator (\(1\leq p\leq\infty\)) with respect to a Banach ideal of multilinear functionals. Several interesting results are proved, including Pietsch type composition results.
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multilinear operators
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nuclear operators
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\(p\)-summing operator
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mixing operator
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Banach ideal of multilinear functionals
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Banach ideal of multilinear operators
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compact operator
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