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dc.contributor.author | Sánchez Pérez, Enrique Alfonso | es_ES |
dc.contributor.author | Tradacete Pérez, Pedro | es_ES |
dc.date.accessioned | 2020-09-18T03:34:21Z | |
dc.date.available | 2020-09-18T03:34:21Z | |
dc.date.issued | 2016 | es_ES |
dc.identifier.issn | 1345-4773 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/150300 | |
dc.description.abstract | [EN] An order-based integration of scalar functions with respect to positive vector measures with values in quasi-Banach lattices is presented. It is proved that it coincides with the Bartle-Dunford-Schwartz-type integration for the case of positive measures. These ideas are used to obtain general representation theorems for abstract order continuous quasi-Banach lattices with weak unit without any previous representation of these spaces as spaces of integrable functions. In the case of quasi-Banach lattices having some convexity, it is shown that this representation can be improved. | es_ES |
dc.description.sponsorship | The first author was supported by Ministerio de Economia y Competitividad (Spain) under project MTM2012-36740-C02-02. The second author was supported by Ministerio de Economia y Competitividad (Spain) under projects MTM2010-14946, MTM2012-31286, and Grupo UCM 910346. | es_ES |
dc.language | Inglés | es_ES |
dc.relation.ispartof | Journal of Nonlinear and Convex Analysis | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Quasi-Banach lattice | es_ES |
dc.subject | Vector-valued integration | es_ES |
dc.subject | Representation theorem | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Bartle-Dunford-Schwartz integration for positive vector measures and representation of quasi-Banach lattices | es_ES |
dc.type | Artículo | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2012-36740-C02-02/ES/Operadores multilineales, espacios de funciones integrables y aplicaciones/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2012-31286/ES/OPERADORES, RETICULOS Y ESTRUCTURA DE ESPACIOS DE BANACH/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/UCM//910346/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2010-14946/ES/ESPACIOS DE FUNCIONES Y TECNICAS DE ACOTACION DE OPERADORES EN ANALISIS/ | es_ES |
dc.rights.accessRights | Cerrado | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Sánchez Pérez, EA.; Tradacete Pérez, P. (2016). Bartle-Dunford-Schwartz integration for positive vector measures and representation of quasi-Banach lattices. Journal of Nonlinear and Convex Analysis. 17(2):387-402. http://hdl.handle.net/10251/150300 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://www.ybook.co.jp/online2/jncav17-2.html | es_ES |
dc.description.upvformatpinicio | 387 | es_ES |
dc.description.upvformatpfin | 402 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 17 | es_ES |
dc.description.issue | 2 | es_ES |
dc.relation.pasarela | S\327396 | es_ES |
dc.contributor.funder | Universidad Complutense de Madrid | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |
dc.contributor.funder | Ministerio de Ciencia e Innovación | es_ES |