Extensions of multilinear operators and Banach space properties
A new characterization of the Dunford-Pettis property in terms of the extensions of multilinear operators to the biduals is obtained. For the first time, multilinear characterizations of the reciprocal Dunford-Pettis property and Pelczynski's property (V) are also found. Polynomial and holomorp...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2003 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49598 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/49598 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.98 Weakly continuous-mappings Dunford-Pettis property Analytic-functions Disk algebra H-infinity Polynomials Análisis funcional y teoría de operadores |
| Sumario: | A new characterization of the Dunford-Pettis property in terms of the extensions of multilinear operators to the biduals is obtained. For the first time, multilinear characterizations of the reciprocal Dunford-Pettis property and Pelczynski's property (V) are also found. Polynomial and holomorphic versions of these properties are given as well. |
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