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On the Banach lattice structure of L-w(1) of a vector measure on a delta-ring

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On the Banach lattice structure of L-w(1) of a vector measure on a delta-ring

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Calabuig Rodriguez, JM.; Delgado Garrido, O.; Juan Blanco, MA.; Sánchez Pérez, EA. (2014). On the Banach lattice structure of L-w(1) of a vector measure on a delta-ring. Collectanea Mathematica. 65(1):67-85. doi:10.1007/s13348-013-0081-8

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Title: On the Banach lattice structure of L-w(1) of a vector measure on a delta-ring
Author:
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
Issued date:
Abstract:
We study some Banach lattice properties of the space L-w(1)(v) of weakly integrable functions with respect to a vector measure v defined on a delta-ring. Namely, we analyze order continuity, order density and Fatou type ...[+]
Subjects: Banach lattice , Delta-ring , Fatou property , Order density , Order continuity , Integration with respect to vector measures
Copyrigths: Reserva de todos los derechos
Source:
Collectanea Mathematica. (issn: 0010-0757 ) (eissn: 2038-4815 )
DOI: 10.1007/s13348-013-0081-8
Publisher:
Universitat de Barcelona
Publisher version: http://dx.doi.org/10.1007/s13348-013-0081-8
Thanks:
J. M. Calabuig and M. A. Juan were supported by the Ministerio de Economia y Competitividad (project MTM2008-04594). O. Delgado was supported by the Ministerio de Economia y Competitividad (project MTM2009-12740-C03-02). ...[+]
Type: Artículo

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