Artículo
Generalized perfect spaces
Autor/es | Calabuig, J. M.
Delgado Garrido, Olvido Sánchez Pérez, E. A. |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2008 |
Fecha de depósito | 2021-01-08 |
Publicado en |
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Resumen | Given two Banach function spaces X and Y related to a measure μ, the Y-dual space XY of X is defined as the space of the multipliers from X to Y. The space XY is a generalization of the classical Köthe dual space of X, ... Given two Banach function spaces X and Y related to a measure μ, the Y-dual space XY of X is defined as the space of the multipliers from X to Y. The space XY is a generalization of the classical Köthe dual space of X, which is obtained by taking Y = Lt(μ). Under minimal conditions, we can consider the Y-bidual space XYY of X (i.e. the Y-dual of XY). As in the classical case, the containment X ⊂ XYY always holds. We give conditions guaranteeing that X coincides with XYY, in which case X is said to be Y-perfect. We also study when X is isometrically embedded in XYY. Properties involving p-convexity, p-concavity and the order of X and Y, will have a special relevance. |
Agencias financiadoras | Generalitat Valenciana Ministerio de Educación y Ciencia (MEC). España |
Identificador del proyecto | GVPRE/2008/312
MTM2006-13000-C03-01 |
Cita | Calabuig, J.M., Delgado Garrido, O. y Sánchez Pérez, E.A. (2008). Generalized perfect spaces. Indagationes Mathematicae, 19 (3), 359-378. |
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