Actions that characterize \(l_\infty^{(n)}\) (Q1377505)
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scientific article; zbMATH DE number 1109498
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Actions that characterize \(l_\infty^{(n)}\) |
scientific article; zbMATH DE number 1109498 |
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Actions that characterize \(l_\infty^{(n)}\) (English)
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2 November 1998
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It is a classical result of Nachbin that if the identity operator on an \(n\)-dimensional Banach space \(V\) can be extended to any Banach space with the same norm, then \(V\) is isometric to \(\ell^{(n)}_\infty\). In this work, the authors show that the identity is the only linear operator with this property.
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0.90927434
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0.8688763
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0.86689305
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0.8618234
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0.86066556
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0.85869306
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0.8494607
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