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dc.creatorDelgado Garrido, Olvidoes
dc.creatorSánchez Pérez, E. A.es
dc.date.accessioned2021-01-08T11:02:02Z
dc.date.available2021-01-08T11:02:02Z
dc.date.issued2015
dc.identifier.citationDelgado Garrido, O. y Sánchez Pérez, E.A. (2015). Optimal domain of q-concave operators and vector measure representation of q-concave Banach lattices. ArXiv.org, arXiv:1511.02337
dc.identifier.urihttps://hdl.handle.net/11441/103469
dc.description.abstractGiven a Banach space valued q-concave linear operator T defined on a σ-order continuous quasi-Banach function space, we provide a description of the optimal domain of T preserving q-concavity, that is, the largest σ-order continuous quasi-Banach function space to which T can be extended as a q-concave operator. We show in this way the existence of maximal extensions for q-concave operators. As an application, we show a representation theorem for q-concave Banach lattices through spaces of integrable functions with respect to a vector measure. This result culminates a series of representation theorems for Banach lattices using vector measures that have been obtained in the last twenty years.es
dc.description.sponsorshipMinisterio de Economía y Competitividad MTM2012-36732-C03-03es
dc.description.sponsorshipJunta de Andalucía FQM-262es
dc.description.sponsorshipJunta de Andalucía FQM-7276es
dc.formatapplication/pdfes
dc.format.extent21es
dc.language.isoenges
dc.publisherCornell Universityes
dc.relation.ispartofArXiv.org, arXiv:1511.02337
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectBanach latticeses
dc.subjectq-concave operatorses
dc.subjectQuasi-Banach function spaceses
dc.subjectVector measures defined on a δ-ringes
dc.titleOptimal domain of q-concave operators and vector measure representation of q-concave Banach latticeses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)es
dc.relation.projectIDMTM2012-36732-C03-03es
dc.relation.projectIDFQM-262es
dc.relation.projectIDFQM-7276es
dc.relation.publisherversionhttps://arxiv.org/abs/1511.02337es
dc.journaltitleArXiv.orges
dc.publication.issuearXiv:1511.02337es
dc.contributor.funderMinisterio de Economía y Competitividad (MINECO). Españaes
dc.contributor.funderJunta de Andalucíaes
dc.contributor.funderJunta de Andalucíaes

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