On p-Dunford integrable functions with values in Banach spaces
[EN] Let (Omega, Sigma, mu) be a complete probability space, X a Banach space and 1 <= p < infinity. In this paper we discuss several aspects of p-Dunford in-tegrable functions f : Omega->X. Special attention is paid to the compactness of the Dunford operator of f. We also study...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| 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:10251/142041 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/142041 |
| Access Level: | acceso abierto |
| Palabra clave: | P-Dunford integrable function P-Pettis integrable function Dunford operator P-Summing operator,w*-Thick set MATEMATICA APLICADA |
| Sumario: | [EN] Let (Omega, Sigma, mu) be a complete probability space, X a Banach space and 1 <= p < infinity. In this paper we discuss several aspects of p-Dunford in-tegrable functions f : Omega->X. Special attention is paid to the compactness of the Dunford operator of f. We also study the p-Bochner integrability of the composition u o f: Omega->Y , where u is a p-summing operator from X to another Banach space Y . Finally, we also provide some tests of p-Dunford integrability by using w*-thick subsets of X¿. |
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