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dc.contributor.author | Agud Albesa, Lucia | es_ES |
dc.contributor.author | Calabuig Rodriguez, Jose Manuel | es_ES |
dc.contributor.author | Sánchez Pérez, Enrique Alfonso | es_ES |
dc.date.accessioned | 2015-01-23T14:02:15Z | |
dc.date.issued | 2012-02 | |
dc.identifier.issn | 0025-584X | |
dc.identifier.uri | http://hdl.handle.net/10251/46320 | |
dc.description.abstract | Let X(mu) be a Banach function space. In this paper we introduce two new geometric notions, q-convexity and weak q-convexity associated to a subset S of the unit ball of the dual of X(mu), 1 = q < 8. We prove that in the general case both notions are not equivalent and we study the relation between them, showing that they can be used for describing the weak topology in these spaces. We define the canonical q-concave weak topology tq on X(mu)a topology generated by q-concave seminormsfor obtaining our main result: A s-order continuous Banach function space X(mu) is q-convex if and only if the following topological inclusions twtqt . hold. As an application, in the last section we prove a suitable Maurey-Rosenthal type factorization theorem for operators from a Banach function space X(mu) into a Banach space that holds under weaker assumptions on the q-convexity requirements for X(mu). | es_ES |
dc.description.sponsorship | The research of the second named author was partially supported by MEC and FEDER (project MTM2008-04594) and GV/2009/102 (Conselleria de Educacion), and the third one was partially suipported by MEC and FEDER (project MTM2009-14483-C02-02). Both were also supported by Universidad Politecnica de Valencia (project PAID-06-08-3093). | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | Wiley-VCH Verlag | es_ES |
dc.relation.ispartof | Mathematical News / Mathematische Nachrichten | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Banach function space | es_ES |
dc.subject | Maurey-Rosenthal factorization theorem | es_ES |
dc.subject | Q-concavity | es_ES |
dc.subject | Q-convexity | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | The weak topology on q-convex Banach function spaces | es_ES |
dc.type | Artículo | es_ES |
dc.embargo.lift | 10000-01-01 | |
dc.embargo.terms | forever | es_ES |
dc.identifier.doi | 10.1002/mana.201000030 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2008-04594/ES/ANALISIS DE FOURIER CLASICO, MULTILINEAL Y VECTORIAL/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/UPV//PAID-06-08-3093/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2009-14483-C02-02/ES/Integracion Bilineal, Medidas Vectoriales Y Espacios De Funciones De Banach./ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/Generalitat Valenciana//GV%2F2009%2F102/ES/Espacios de funciones e integracion en espacios de banach/ | 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.contributor.affiliation | Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada | es_ES |
dc.description.bibliographicCitation | Agud Albesa, L.; Calabuig Rodriguez, JM.; Sánchez Pérez, EA. (2012). The weak topology on q-convex Banach function spaces. Mathematical News / Mathematische Nachrichten. 285(2-3):136-149. https://doi.org/10.1002/mana.201000030 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://onlinelibrary.wiley.com/doi/10.1002/mana.201000030/abstract | es_ES |
dc.description.upvformatpinicio | 136 | es_ES |
dc.description.upvformatpfin | 149 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 285 | es_ES |
dc.description.issue | 2-3 | es_ES |
dc.relation.senia | 208977 | |
dc.identifier.eissn | 1522-2616 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación | |
dc.contributor.funder | Generalitat Valenciana | |
dc.contributor.funder | Universitat Politècnica de València | es_ES |
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