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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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dc.contributor.author Calabuig Rodriguez, Jose Manuel es_ES
dc.contributor.author Delgado Garrido, Olvido es_ES
dc.contributor.author Juan Blanco, María Aránzazu es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2016-02-02T11:18:31Z
dc.date.available 2016-02-02T11:18:31Z
dc.date.issued 2014-01
dc.identifier.issn 0010-0757
dc.identifier.uri http://hdl.handle.net/10251/60466
dc.description.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 properties. We will see that the behavior of L-w(1)(v) differs from the case in which is defined on a sigma-algebra whenever does not satisfy certain local sigma-finiteness property. es_ES
dc.description.sponsorship 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). E. A. Sanchez Perez was supported by the Ministerio de Economia y Competitividad (project MTM2009-14483-C02-02). en_EN
dc.language Inglés es_ES
dc.publisher Universitat de Barcelona es_ES
dc.relation.ispartof Collectanea Mathematica es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Banach lattice es_ES
dc.subject Delta-ring es_ES
dc.subject Fatou property es_ES
dc.subject Order density es_ES
dc.subject Order continuity es_ES
dc.subject Integration with respect to vector measures es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On the Banach lattice structure of L-w(1) of a vector measure on a delta-ring es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13348-013-0081-8
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2008-04594/ES/ANALISIS DE FOURIER CLASICO, MULTILINEAL Y VECTORIAL/ / es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2009-12740-C03-02/ES/Ortogonalidad, Teoria De La Aproximacion Y Sus Aplicaciones En Ciencia Y Tecnologia./ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2009-14483-C02-02/ES/Integracion Bilineal, Medidas Vectoriales Y Espacios De Funciones De Banach./ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.description.bibliographicCitation 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 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s13348-013-0081-8 es_ES
dc.description.upvformatpinicio 67 es_ES
dc.description.upvformatpfin 85 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 65 es_ES
dc.description.issue 1 es_ES
dc.relation.senia 278738 es_ES
dc.identifier.eissn 2038-4815
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
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