The Banach space JT is primary (Q791105)
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scientific article; zbMATH DE number 3849854
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Banach space JT is primary |
scientific article; zbMATH DE number 3849854 |
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The Banach space JT is primary (English)
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1983
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The James' tree space JT is an example due to R. C. James of a Banach space with nonseparable dual which does not contain \(\ell_ 1\). Here it is proved that for every bounded linear operator U on JT there is a subspace \(X\subset JT\), isometric to JT, such that either U or (I-U) acts isomorphically on X and either UX or (I-U)X is complemented in JT. As a consequence, JT is primary.
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primary space
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James' tree space
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Banach space with nonseparable dual
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