Artículo
On the Banach lattice structure of L1w of a vector measure on a δ-ring
Autor/es | Calabuig, J. M.
Delgado Garrido, Olvido Juan, M. A. Sánchez Pérez, E. A. |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2014 |
Fecha de depósito | 2021-01-08 |
Publicado en |
|
Resumen | We study some Banach lattice properties of the space L1
w(ν) of weakly integrable
functions with respect to a vector measure ν defined on a δ-ring. Namely, we analyze order
continuity, order density and Fatou type ... We study some Banach lattice properties of the space L1 w(ν) of weakly integrable functions with respect to a vector measure ν defined on a δ-ring. Namely, we analyze order continuity, order density and Fatou type properties. We will see that the behavior of L1 w(ν) differs from the case in which ν is defined on a σ -algebra whenever ν does not satisfy certain local σ -finiteness property. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España |
Identificador del proyecto | MTM2009-12740-C03-02 |
Cita | Calabuig, J.M., Delgado Garrido, O., Juan, M.A. y Sánchez Pérez, E.A. (2014). On the Banach lattice structure of L1w of a vector measure on a δ-ring. Collectanea Mathematica, 65, 67-85. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
On the Banach lattice structure.pdf | 310.4Kb | [PDF] | Ver/ | |