Article
Banach function subspaces of L 1 of a vector measure and related Orlicz spaces
Author/s | Delgado Garrido, Olvido
![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2004 |
Deposit Date | 2021-01-07 |
Published in |
|
Abstract | 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. |
Funding agencies | Ministerio de Ciencia Y Tecnología (MCYT). España |
Project ID. | BFM2003-06335-C03-01
![]() |
Citation | Delgado Garrido, O. (2004). Banach function subspaces of L 1 of a vector measure and related Orlicz spaces. Indagationes Mathematicae, 15 (4), 485-495. |
Files | Size | Format | View | Description |
---|---|---|---|---|
Banach function subspaces of L1 ... | 485.3Kb | ![]() | View/ | |