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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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Título: On the Banach lattice structure of L-w(1) of a vector measure on a delta-ring
Autor: Calabuig Rodriguez, Jose Manuel Delgado Garrido, Olvido Juan Blanco, María Aránzazu Sánchez Pérez, Enrique Alfonso
Entidad UPV: 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
Fecha difusión:
Resumen:
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 ...[+]
Palabras clave: Banach lattice , Delta-ring , Fatou property , Order density , Order continuity , Integration with respect to vector measures
Derechos de uso: Reserva de todos los derechos
Fuente:
Collectanea Mathematica. (issn: 0010-0757 ) (eissn: 2038-4815 )
DOI: 10.1007/s13348-013-0081-8
Editorial:
Universitat de Barcelona
Versión del editor: http://dx.doi.org/10.1007/s13348-013-0081-8
Código del Proyecto:
info:eu-repo/grantAgreement/MICINN//MTM2008-04594/ES/ANALISIS DE FOURIER CLASICO, MULTILINEAL Y VECTORIAL/ /
info:eu-repo/grantAgreement/MICINN//MTM2009-12740-C03-02/ES/Ortogonalidad, Teoria De La Aproximacion Y Sus Aplicaciones En Ciencia Y Tecnologia./
info:eu-repo/grantAgreement/MICINN//MTM2009-14483-C02-02/ES/Integracion Bilineal, Medidas Vectoriales Y Espacios De Funciones De Banach./
Agradecimientos:
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). ...[+]
Tipo: Artículo

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