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dc.creatorDelgado Garrido, Olvidoes
dc.creatorSánchez Pérez, E. A.es
dc.date.accessioned2021-01-15T12:20:17Z
dc.date.available2021-01-15T12:20:17Z
dc.date.issued2017
dc.identifier.citationDelgado Garrido, O. y Sánchez Pérez, E.A. (2017). Choquet type L1-spaces of a vector capacity. Fuzzy Sets and Systems, 327 (november 2017), 98-122.
dc.identifier.issn0165-0114es
dc.identifier.urihttps://hdl.handle.net/11441/103812
dc.description.abstractGiven a set function Λ with values in a Banach space X, we construct an integration theory for scalar functions with respect to Λ by using duality on X and Choquet scalar integrals. Our construction extends the classical Bartle–Dunford–Schwartz integration for vector measures. Since just the minimal necessary conditions on Λ are required, several -spaces of integrable functions associated to Λ appear in such a way that the integration map can be defined in them. We study the properties of these spaces and how they are related. We show that the behavior of the -spaces and the integration map can be improved in the case when X is an order continuous Banach lattice, providing new tools for (non-linear) operator theory and information sciences.es
dc.description.sponsorshipMinisterio de Economía y Competitividad MTM2015-65888-C4-1-Pes
dc.description.sponsorshipMinisterio de Economía y Competitividad MTM2016-77054-C2-1-Pes
dc.description.sponsorshipJunta de Andalucía FQM-7276es
dc.formatapplication/pdfes
dc.format.extent25es
dc.language.isoenges
dc.publisherElsevieres
dc.relation.ispartofFuzzy Sets and Systems, 327 (november 2017), 98-122.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectNon-additive measureses
dc.subjectMeasures of informationes
dc.subjectChoquet integrales
dc.subjectFuzzy measurees
dc.titleChoquet type L1-spaces of a vector capacityes
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)es
dc.relation.projectIDMTM2015-65888-C4-1-Pes
dc.relation.projectIDMTM2016-77054-C2-1-Pes
dc.relation.projectIDFQM-7276es
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0165011417302142es
dc.identifier.doi10.1016/j.fss.2017.05.014es
dc.journaltitleFuzzy Sets and Systemses
dc.publication.volumen327es
dc.publication.issuenovember 2017es
dc.publication.initialPage98es
dc.publication.endPage122es
dc.identifier.sisius21220967
dc.contributor.funderMinisterio de Economía y Competitividad (MINECO). Españaes
dc.contributor.funderJunta de Andalucíaes

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