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Lp-valued measures without finite X-semivariation for 2 < p < ∞

dc.creatorJefferies, Brianes
dc.creatorOkada, Susumues
dc.creatorRodríguez Piazza, Luises
dc.date.accessioned2018-02-01T07:54:10Z
dc.date.available2018-02-01T07:54:10Z
dc.date.issued2007
dc.identifier.citationJefferies, B., Okada, S. y Rodríguez Piazza, L. (2007). Lp-valued measures without finite X-semivariation for 2 < p < ∞. Quaestiones Mathematicae, 30 (4), 437-449.
dc.identifier.issn1607-3606es
dc.identifier.issn1727-933Xes
dc.identifier.urihttps://hdl.handle.net/11441/69849
dc.description.abstractWe show that for 1 ≤ p < ∞, the property that every Lp-valued vector measure has finite X-semivariation in Lp(μ, X) is equivalent to the property that every continuous linear map from 1 to X is p-summing. For 2 < p < ∞, we explicitly construct an Lp([0, 1])-valued measure without finite Lp-semivariation.es
dc.description.sponsorshipGeneralitat Valencianaes
dc.description.sponsorshipMinisterio de Educación y Cienciaes
dc.description.sponsorshipUniversidad Politécnica de Valenciaes
dc.description.sponsorshipCentre for Mathematics and its Applications at the Australian National Universityes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherTaylor & Francises
dc.relation.ispartofQuaestiones Mathematicae, 30 (4), 437-449.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectAbsolutely p-summinges
dc.subjectLp-semivariationes
dc.subjectTensor productes
dc.titleLp-valued measures without finite X-semivariation for 2 < p < ∞es
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.projectIDCTESIN2005/025es
dc.relation.projectIDDGU # SAB 2004-0206es
dc.relation.projectIDMTM 2006-11690-C02-01es
dc.relation.projectID2488-I+D+I-2007-UPVes
dc.relation.projectIDD.G.I. BFM 2003-01297es
dc.relation.publisherversionhttp://www.tandfonline.com/doi/pdf/10.2989/16073600709486211es
dc.contributor.groupUniversidad de Sevilla. FQM104: Análisis Matemáticoes
idus.format.extent11 p.es
dc.journaltitleQuaestiones Mathematicaees
dc.publication.volumen30es
dc.publication.issue4es
dc.publication.initialPage437es
dc.publication.endPage449es

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