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dc.contributor.author | Sánchez Pérez, Enrique Alfonso | es_ES |
dc.contributor.author | Tradacete Pérez, Pedro | es_ES |
dc.date.accessioned | 2015-10-02T09:40:56Z | |
dc.date.available | 2015-10-02T09:40:56Z | |
dc.date.issued | 2014-09 | |
dc.identifier.issn | 0033-5606 | |
dc.identifier.uri | http://hdl.handle.net/10251/55476 | |
dc.description.abstract | The notion of positively norming set, a specific definition of norming type sets for Banach lattices, is analyzed. We show that the size of positively norming sets (in terms of compactness and order boundedness) is directly related to the existence of lattice copies of L-1-spaces. As an application, we provide a version of Kadec-Pelczynski's dichotomy for order continuous Banach function spaces. A general description of positively norming sets using vector measure integration is also given. | es_ES |
dc.description.sponsorship | This research was supported by the Ministerio de Economia y Competitividad under project MTM2012-36740-c02-02 (Spain) (to E. A. S. P.) and by the Ministerio de Economia y Competitividad under projects MTM2010-14946, MTM2012-31286 and Grupo UCM 910346 (to P.T.) | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | Oxford University Press (OUP): Policy B - Oxford Open Option A | es_ES |
dc.relation.ispartof | Quarterly Journal of Mathematics | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Lattices | es_ES |
dc.subject | Operators | es_ES |
dc.subject | Noncompactness | es_ES |
dc.subject | Boundaries | es_ES |
dc.subject | Theorem | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Positively norming sets in Banach function spaces | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1093/qmath/hat035 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2010-14946/ES/ESPACIOS DE FUNCIONES Y TECNICAS DE ACOTACION DE OPERADORES EN ANALISIS/ | |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2012-31286/ES/OPERADORES, RETÍCULOS Y ESTRUCTURA DE ESPACIOS DE BANACH./ | |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2012-36740-C02-02/ES/Operadores multilineales, espacios de funciones integrables y aplicaciones/ | |
dc.rights.accessRights | Abierto | 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. (2014). Positively norming sets in Banach function spaces. Quarterly Journal of Mathematics. 65(3):1049-1068. doi:10.1093/qmath/hat035 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1093/qmath/hat035 | es_ES |
dc.description.upvformatpinicio | 1049 | es_ES |
dc.description.upvformatpfin | 1068 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 65 | es_ES |
dc.description.issue | 3 | es_ES |
dc.relation.senia | 280766 | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |
dc.contributor.funder | Ministerio de Ciencia e Innovación |