On the Bishop-Phelps-Bollobás property for numerical radius in \(C(K)\) spaces

DOI10.1016/j.jmaa.2014.04.039zbMath1319.46005arXiv1212.6761OpenAlexW2963501051MaRDI QIDQ2252477

Antonio Avilés López, Antonio J. Guirao, José Rodríguez

Publication date: 17 July 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6761

zbMATH Keywords

Bishop-Phelps-Bollobás theoremnumerical radius attaining operatormetrizable compact Hausdorff topological spaces

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Numerical range, numerical radius (47A12) Isometric theory of Banach spaces (46B04)

Related Items (9)

The Bishop–Phelps–Bollobás Theorem: An Overview ⋮ On the Bishop-Phelps-Bollobás theorem for multilinear mappings ⋮ The Bishop-Phelps-Bollobás property for numerical radius of operators on \(L_{1}(\mu)\) ⋮ Some remarks on Phelps property $U$ of a Banach space into \(C(K)\) spaces ⋮ The Bishop-Phelps-Bollobás property and absolute sums ⋮ On the Bishop-Phelps-Bollobás property for numerical radius ⋮ On the compact operators case of the Bishop-Phelps-Bollobás property for numerical radius ⋮ On the Bishop–Phelps–Bollobás property ⋮ On the Bishop–Phelps–Bollobás theorem for operators and numerical radius

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• Density of numerical radius attaining operators on some reflexive spaces
• Numerical Radius Attaining Operators and the Radon-Nikodym Property
• Denseness of Operators Whose Second Adjoints Attain Their Numerical Radii
• Numerical Radius-Attaining Operators on C(K)
• Norm attaining operators

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