Every real Banach space can be renormed to satisfy the denseness of numerical radius attaining operators (Q1261892)
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scientific article; zbMATH DE number 410016
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Every real Banach space can be renormed to satisfy the denseness of numerical radius attaining operators |
scientific article; zbMATH DE number 410016 |
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Every real Banach space can be renormed to satisfy the denseness of numerical radius attaining operators (English)
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7 September 1993
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First we show that every Banach space satisfying a certain property, called \(\beta\) (used by Lindenstrauss and Partington) verifies the denseness of the numerical radius attaining operators. Using this result and a renorming theorem by Partington we conclude that every Banach space is isomorphic to a new one satisfying the denseness of the numerical radius attaining operators.
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operators on Banach spaces
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property \(\beta\)
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denseness of the numerical radius attaining operators
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renorming theorem
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