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Absolutely continuous multilinear operators

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Absolutely continuous multilinear operators

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dc.contributor.author Dahia, E. es_ES
dc.contributor.author Achour, D. es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2015-04-23T10:15:26Z
dc.date.available 2015-04-23T10:15:26Z
dc.date.issued 2013-01
dc.identifier.issn 0022-247X
dc.identifier.uri http://hdl.handle.net/10251/49168
dc.description.abstract We introduce the new class of the (p;p1,...,pm; s)-absolutely continuous operators, that is defined using a summability property that provides the multilinear version of the (p, s)-absolutely continuous operators. We give an analogue of the Pietsch domination theorem and a multilinear version of the associated factorization theorem that holds for (p, s)-absolutely continuous operators, obtaining in this way a rich factorization theory. We present also a tensor norm which represents this multi-ideal by trace duality. As an application, we show that (p; p1, . . . , pm; s)-absolutely continuous multilinear operators are compact under some requirements. Applications to factorization of linear maps on Banach function spaces through interpolation spaces are also given. es_ES
dc.description.sponsorship EL-Hadj Dahia acknowledges with thanks the support of the Ministere de l'Enseignament Superieur et de la Recherche Scientifique (Algeria) under grant 555/PGRS/C.U.K.M. (2011) for a short term stage. D. Achour acknowledges with thanks the support of the Ministere de l'Enseignament Superieur et de la Recherche Scientifique (Algeria) under project PNR 8-U28-6543. E.A. Sanchez acknowledges with thanks the support of the Ministerio de Economia y Connpetitividad (Spain) under project #MTM2009-14483-C02-02. en_EN
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation info:eu-repo/grantAgreement/MICINN//MTM2009-14483-C02-02/ES/Integracion Bilineal, Medidas Vectoriales Y Espacios De Funciones De Banach./ es_ES
dc.relation Ministere de l'Enseignament Superieur et de la Recherche Scientifique (Algeria) 555/PGRS/C.U.K.M. PNR 8-U28-6543 es_ES
dc.relation.ispartof Journal of Mathematical Analysis and Applications es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Absolutely continuous operator es_ES
dc.subject Multilinear operator es_ES
dc.subject Pietsch domination theorem es_ES
dc.subject Tensor norm es_ES
dc.subject Banach function space es_ES
dc.subject Compact operator es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Absolutely continuous multilinear operators es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.jmaa.2012.07.034
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 Dahia, E.; Achour, D.; Sánchez Pérez, EA. (2013). Absolutely continuous multilinear operators. Journal of Mathematical Analysis and Applications. 397:205-224. https://doi.org/10.1016/j.jmaa.2012.07.034 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.jmaa.2012.07.034 es_ES
dc.description.upvformatpinicio 205 es_ES
dc.description.upvformatpfin 224 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 397 es_ES
dc.relation.senia 256573
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES


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