Type and cotype of multilinear operators (Q321248)
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scientific article; zbMATH DE number 6638179
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Type and cotype of multilinear operators |
scientific article; zbMATH DE number 6638179 |
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Type and cotype of multilinear operators (English)
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13 October 2016
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In this paper, the authors introduce the notions of type \((p_1,\dots,p_n)\) and cotype \(q\) for continuous \(n\)-linear operators, extending the classical notion. A finite rank \(n\)-linear operator has any proper cotype only when \(n = 1\) ~or~\(2\). It is also shown that this type of operators form a Banach ideal.
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multi-ideals
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operator ideals
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type
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cotype
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Aron-Berner extensions
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