Artículo
Duals of vector-valued Köthe function spaces
Autor/es | Florencio Lora, Miguel
Paúl Escolano, Pedro José Sáez Agulló, Carmen |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) |
Fecha de publicación | 1992 |
Fecha de depósito | 2021-09-13 |
Publicado en |
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Resumen | Let Λ be a perfect Köthe function space in the sense of Dieudonné, and Λ× its Köthe-dual. Let E be a normed space. Then the topological dual of the space Λ(E) of Λ-Bochner integrable functions equals the corresponding ... Let Λ be a perfect Köthe function space in the sense of Dieudonné, and Λ× its Köthe-dual. Let E be a normed space. Then the topological dual of the space Λ(E) of Λ-Bochner integrable functions equals the corresponding Λ×(E′) if and only if E′ has the Radon–Nikodým property. We also give some results concerning barrelledness for spaces of this kind. |
Cita | Florencio Lora, M., Paúl Escolano, P.J. y Sáez Agulló, C. (1992). Duals of vector-valued Köthe function spaces. Mathematical Proceedings of the Cambridge Philosophical Society, 112 (1), 165-174. |
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