The Giesy-James theorem for the general index \(p\), with an application to operator ideals on the \(p\)th James space (Q2859502)
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scientific article; zbMATH DE number 6224016
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Giesy-James theorem for the general index \(p\), with an application to operator ideals on the \(p\)th James space |
scientific article; zbMATH DE number 6224016 |
Statements
8 November 2013
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quasi-reflexive Banach space
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James space
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finite representability of \(c_0\)
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closed operator ideal
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The Giesy-James theorem for the general index \(p\), with an application to operator ideals on the \(p\)th James space (English)
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Giesy and James (see [\textit{D. P. Giesy} and \textit{R. C. James}, Stud. Math. 48, 61--69 (1973; Zbl 0262.46014)]) proved that \(c_0\) is finitely representable in \(J_2\). In the paper under review this result is extended to the \(p\)th quasi-reflexive James space \(J_p\) for each \(p\in(1,\infty)\). As an application, a new closed ideal of operators on \(J_p\) is obtained.
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