dc.creator | Delgado Garrido, Olvido | es |
dc.creator | Sánchez Pérez, E. A. | es |
dc.date.accessioned | 2021-01-15T12:20:17Z | |
dc.date.available | 2021-01-15T12:20:17Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Delgado 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.issn | 0165-0114 | es |
dc.identifier.uri | https://hdl.handle.net/11441/103812 | |
dc.description.abstract | Given 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.sponsorship | Ministerio de Economía y Competitividad MTM2015-65888-C4-1-P | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad MTM2016-77054-C2-1-P | es |
dc.description.sponsorship | Junta de Andalucía FQM-7276 | es |
dc.format | application/pdf | es |
dc.format.extent | 25 | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Fuzzy Sets and Systems, 327 (november 2017), 98-122. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Non-additive measures | es |
dc.subject | Measures of information | es |
dc.subject | Choquet integral | es |
dc.subject | Fuzzy measure | es |
dc.title | Choquet type L1-spaces of a vector capacity | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | MTM2015-65888-C4-1-P | es |
dc.relation.projectID | MTM2016-77054-C2-1-P | es |
dc.relation.projectID | FQM-7276 | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0165011417302142 | es |
dc.identifier.doi | 10.1016/j.fss.2017.05.014 | es |
dc.journaltitle | Fuzzy Sets and Systems | es |
dc.publication.volumen | 327 | es |
dc.publication.issue | november 2017 | es |
dc.publication.initialPage | 98 | es |
dc.publication.endPage | 122 | es |
dc.identifier.sisius | 21220967 | |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | es |
dc.contributor.funder | Junta de Andalucía | es |