Artículo
Banach function subspaces of L 1 of a vector measure and related Orlicz spaces
Autor/es | Delgado Garrido, Olvido |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2004 |
Fecha de depósito | 2021-01-07 |
Publicado en |
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Resumen | Given a vector measure ν with values in a Banach space X, we consider the space L1(ν) of real functions which are integrable with respect to ν. We prove that every order continuous Banach function space Y continuously ... Given a vector measure ν with values in a Banach space X, we consider the space L1(ν) of real functions which are integrable with respect to ν. We prove that every order continuous Banach function space Y continuously contained in L1(ν) is generated via a certain positive map ϱ related to ν and defined on X* x M, where X* is the dual space of X and M the space of measurable functions. This procedure provides a way of defining Orlicz spaces with respect to the vector measure ν. |
Agencias financiadoras | Ministerio de Ciencia Y Tecnología (MCYT). España |
Identificador del proyecto | BFM2003-06335-C03-01 |
Cita | Delgado Garrido, O. (2004). Banach function subspaces of L 1 of a vector measure and related Orlicz spaces. Indagationes Mathematicae, 15 (4), 485-495. |
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