| Título: | On Banach spaces that contain l1 as complemented subspace.(Spanish:Sobre los espacios de Banach que contienen a l1 como complementado). |
| Autores: | Cembranos, Pilar |
| Tipo de documento: | texto impreso |
| Editorial: | Real Academia de Ciencias Exactas, Físicas y Naturales, 1981 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/restrictedAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores , Tipo = Artículo |
| Resumen: | Let E and F be two Banach spaces, and let L(E,F) [WK(E,F)] denote the space of all continuous [weakly compact] linear operators from E to F. Obviously, if F is reflexive then L(E,F)=WK(E,F). The author proves that the equality L(E,F)=WK(E,F) implies the reflexivity of F if and only if E contains l1 as a complemented subspace. In the last part of the note she investigates when the space C(T,E) of all continuous functions on the compact space T with values in the Banach space E contains l1 as a complemented subspace. |
| En línea: | https://eprints.ucm.es/id/eprint/22591/1/13.pdf |
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