Differentiability of L-p of a vector measure and applications to the Bishop-Phelps-Bollobas property
[EN] We study the properties of Gâteaux, Fréchet, uniformly Fréchet and uniformly Gâteaux smoothness of the space Lp(m) of scalar p-integrable functions with respect to a positive vector measure m with values in a Banach lattice. Applications in the setting of the Bishop-Phelps-Bollobás property (bo...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| 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:10251/149919 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/149919 |
| Access Level: | acceso abierto |
| Palabra clave: | L-p of a vector measure Banach function space Gâteaux and Féchet uniformly smooth norm Bishop-Phelps-Bollobás property MATEMATICA APLICADA |
| Sumario: | [EN] We study the properties of Gâteaux, Fréchet, uniformly Fréchet and uniformly Gâteaux smoothness of the space Lp(m) of scalar p-integrable functions with respect to a positive vector measure m with values in a Banach lattice. Applications in the setting of the Bishop-Phelps-Bollobás property (both for operators and bilinear forms) are also given. |
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