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dc.contributor.author | Delgado Garrido, Olvido | es_ES |
dc.contributor.author | Sánchez Pérez, Enrique Alfonso | es_ES |
dc.date.accessioned | 2020-07-31T03:31:26Z | |
dc.date.available | 2020-07-31T03:31:26Z | |
dc.date.issued | 2017-11-15 | es_ES |
dc.identifier.issn | 0165-0114 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/149081 | |
dc.description.abstract | [EN] Given a set function Lambda with values in a Banach space X, we construct an integration theory for scalar functions with respect to Lambda by using duality on Xand Choquet scalar integrals. Our construction extends the classical Bartle-Dunford-Schwartz integration for vector measures. Since just the minimal necessary conditions on Lambda are required, several L-1-spaces of integrable functions associated to Lambda 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 L-1-spaces and the integration map can be improved in the case when Xis an order continuous Banach lattice, providing new tools for (non-linear) operator theory and information sciences. (C) 2017 Elsevier B.V. All rights reserved. | es_ES |
dc.description.sponsorship | The first and second authors gratefully acknowledge the support of the Ministerio de Economia y Competitividad under projects MTM2015-65888-C4-1-P and MTM2016-77054-C2-1-P, respectively. The first author also acknowledges the support of the Junta de Andalucia (project FQM-7276), Spain. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Fuzzy Sets and Systems | es_ES |
dc.rights | Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) | es_ES |
dc.subject | Non-additive measures | es_ES |
dc.subject | Measures of information | es_ES |
dc.subject | Choquet integral | es_ES |
dc.subject | Fuzzy measure | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Choquet type L-1-spaces of a vector capacity | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.fss.2017.05.014 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/Junta de Andalucía//P11-FQM-7276/ES/Teoría de la aproximación, funciones especiales y modelos matemáticos: de la teoría a las aplicaciones oftalmológicas/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2015-65888-C4-1-P/ES/ORTOGONALIDAD, TEORIA DE LA APROXIMACION Y APLICACIONES EN FISICA MATEMATICA/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2016-77054-C2-1-P/ES/ANALISIS NO LINEAL, INTEGRACION VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACION/ | es_ES |
dc.rights.accessRights | Abierto | 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.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Delgado Garrido, O.; Sánchez Pérez, EA. (2017). Choquet type L-1-spaces of a vector capacity. Fuzzy Sets and Systems. 327:98-122. https://doi.org/10.1016/j.fss.2017.05.014 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1016/j.fss.2017.05.014 | es_ES |
dc.description.upvformatpinicio | 98 | es_ES |
dc.description.upvformatpfin | 122 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 327 | es_ES |
dc.relation.pasarela | S\353684 | es_ES |
dc.contributor.funder | Junta de Andalucía | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |