Multilinear operators on C(K,X) spaces
Given Banach spaces X, Y and a compact Hausdor_ space K, we use polymeasures to give necessary conditions for a multilinear operator from C(K;X) into Y to be completely continuous (resp. unconditionally converging). We deduce necessary and sufficient conditions for X to have the Schur property (resp...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2004 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49431 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/49431 |
| Access Level: | acceso abierto |
| Palabra clave: | 517 Completely continuous Unconditionally converging Multilinear operators C(K X) spaces Análisis matemático 1202 Análisis y Análisis Funcional |
| Sumario: | Given Banach spaces X, Y and a compact Hausdor_ space K, we use polymeasures to give necessary conditions for a multilinear operator from C(K;X) into Y to be completely continuous (resp. unconditionally converging). We deduce necessary and sufficient conditions for X to have the Schur property (resp. to contain no copy of c0), and for K to be scattered. This extends results concerning linear operators. |
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