Numerical Radius Attaining Operators and the Radon-Nikodym Property |
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Authors: | Acosta, Maria D. Paya, Rafael |
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Affiliation: | Departamento de Análisis Matemático, Facultad de Ciencias 18071 Granada, Spain |
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Abstract: | We prove that, for any Banach space X, the set of operatorson X whose adjoints attain their numerical radii is dense inthe space of all operators. We also show the denseness of theset of numerical radius attaining operators on a Banach spacewith the Radon-Nikodym property. |
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