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Factorization of strongly (p,sigma)-continuous multilinear operators

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Factorization of strongly (p,sigma)-continuous multilinear operators

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dc.contributor.author Achour, D. es_ES
dc.contributor.author Dahia, E. es_ES
dc.contributor.author Rueda, P. es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2015-09-29T09:38:20Z
dc.date.available 2015-09-29T09:38:20Z
dc.date.issued 2014-12
dc.identifier.issn 0308-1087
dc.identifier.uri http://hdl.handle.net/10251/55235
dc.description.abstract We introduce the new ideal of strongly-continuous linear operators in order to study the adjoints of the -absolutely continuous linear operators. Starting from this ideal we build a new multi-ideal by using the composition method. We prove the corresponding Pietsch domination theorem and we present a representation of this multi-ideal by a tensor norm. A factorization theorem characterizing the corresponding multi-ideal - which is also new for the linear case - is given. When applied to the case of the Cohen strongly -summing operators, this result gives also a new factorization theorem. es_ES
dc.description.sponsorship D. Achour acknowledges with thanks the support of the Ministere de l'Enseignament Superieur et de la Recherche Scientifique (Algeria) under project PNR 8-U28-181. E. Dahia acknowledges with thanks the support of the Ministere de l'Enseignament Superieur et de la Recherche Scientifique (Algeria) [grant number 10/PG-FMI/2013] and the Universite de M'Sila (2013) for short term stage. P. Rueda acknowledges with thanks the support of the Ministerio de Economia y Competitividad (Spain) MTM2011-22417. E. A. Sanchez Perez acknowledges with thanks the support of the Ministerio de Economia y Competitividad (Spain) under project MTM2012-36740-C02-02. en_EN
dc.language Inglés es_ES
dc.publisher Taylor & Francis: STM, Behavioural Science and Public Health Titles es_ES
dc.relation.ispartof Linear and Multilinear Algebra es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Multilinear operator es_ES
dc.subject Tensor norm es_ES
dc.subject Absolutely continuous operators es_ES
dc.subject Factorization es_ES
dc.subject Pietsch domination theorem es_ES
dc.subject Secondary 47B10 es_ES
dc.subject Primary 46A32 es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Factorization of strongly (p,sigma)-continuous multilinear operators es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1080/03081087.2013.839677
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2012-36740-C02-02/ES/Operadores multilineales, espacios de funciones integrables y aplicaciones/
dc.relation.projectID info:eu-repo/grantAgreement/MESRS//10/PG-FMI/2013/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 Achour, D.; Dahia, E.; Rueda, P.; Sánchez Pérez, EA. (2014). Factorization of strongly (p,sigma)-continuous multilinear operators. Linear and Multilinear Algebra. 62(12):1649-1670. doi:10.1080/03081087.2013.839677 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1080/03081087.2013.839677 es_ES
dc.description.upvformatpinicio 1649 es_ES
dc.description.upvformatpfin 1670 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 62 es_ES
dc.description.issue 12 es_ES
dc.relation.senia 280735 es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.contributor.funder Université de M'Sila es_ES
dc.contributor.funder Ministère de l'Enseignement Supérieur et de la Recherche Scientifique, Argelia es_ES
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