Article
On the Banach lattice structure of L1w of a vector measure on a δ-ring
Author/s | Calabuig, J. M.
Delgado Garrido, Olvido Juan, M. A. Sánchez Pérez, E. A. |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2014 |
Deposit Date | 2021-01-08 |
Published in |
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Abstract | 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. |
Funding agencies | Ministerio de Economía y Competitividad (MINECO). España |
Project ID. | MTM2009-12740-C03-02 |
Citation | 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. |
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