The Bishop-Phelps-Bollobás property for numerical radius in l(1)(C)
We show that the set of bounded linear operators from X to X admits a Bishop Phelps Bollobas type theorem for numerical radius whenever X is l(1)(C) or c(0)(C). As an essential tool we provide two constructive versions of the classical Bishop-Phelps-Bollobas theorem for l(1)(C).
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/43363 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/43363 |
| Access Level: | acceso abierto |
| Palabra clave: | Bishop-Phelps-Bollobás theorem Norm attaining Attaining operators Numerical Radius Bishop-Phelps-Bollobás property MATEMATICA APLICADA |
| Sumario: | We show that the set of bounded linear operators from X to X admits a Bishop Phelps Bollobas type theorem for numerical radius whenever X is l(1)(C) or c(0)(C). As an essential tool we provide two constructive versions of the classical Bishop-Phelps-Bollobas theorem for l(1)(C). |
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