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Factorization through Lorentz spaces for operators acting in Banach function spaces

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Factorization through Lorentz spaces for operators acting in Banach function spaces

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dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2021-01-30T04:31:23Z
dc.date.available 2021-01-30T04:31:23Z
dc.date.issued 2019-02 es_ES
dc.identifier.issn 1385-1292 es_ES
dc.identifier.uri http://hdl.handle.net/10251/160296
dc.description.abstract [EN] We show a factorization through Lorentz spaces for Banach-space-valued operators defined in Banach function spaces. Although our results are inspired in the classical factorization theorem for operators from Ls-spaces through Lorentz spaces Lq,1 due to Pisier, our arguments are different and essentially connected with Maurey's theorem for operators that factor through Lp-spaces. As a consequence, we obtain a new characterization of Lorentz Lq,1-spaces in terms of lattice geometric properties, in the line of the (isomorphic) description of Lp-spaces as the unique ones that are p-convex and p-concave. es_ES
dc.description.sponsorship Funding was provided by Secretaria de Estado de Investigacion, Desarrollo e Innovacion and FEDER (Grant No. MTM2016-77054-c2-1-P). es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Positivity es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Lorentz space es_ES
dc.subject Factorization es_ES
dc.subject Operator es_ES
dc.subject Banach lattice es_ES
dc.subject Concavity es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Factorization through Lorentz spaces for operators acting in Banach function spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11117-018-0593-2 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. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Sánchez Pérez, EA. (2019). Factorization through Lorentz spaces for operators acting in Banach function spaces. Positivity. 23(1):75-88. https://doi.org/10.1007/s11117-018-0593-2 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s11117-018-0593-2 es_ES
dc.description.upvformatpinicio 75 es_ES
dc.description.upvformatpfin 88 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 23 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\406133 es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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