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Domination and Factorization of Multilinear Operators

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Domination and Factorization of Multilinear Operators

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dc.contributor.author Mastylo, Mieczyslaw es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2015-04-17T13:01:01Z
dc.date.issued 2013
dc.identifier.issn 0944-6532
dc.identifier.uri http://hdl.handle.net/10251/48941
dc.description.abstract [EN] We study multilinear operators from quasi-Banach lattices to quasi-Banach spaces. We prove that certain vector valued norm inequalities for these operators are equivalent to domination theorems. As an application we show that under some mild assumptions these domination theorems can be expressed in terms of factorization through Orlicz spaces. In the case of the multilinear functionals on C(K)-spaces we recover a multilinear variant of the Grothendieck factorization theorem. es_ES
dc.description.sponsorship The first named author was supported by the National Science Centre (NCN), Poland, grant no. 2011/01/B/ST1/06243. The second named author was supported by the Ministerio de Econom´ıa y Competitividad under grant #MTM2012-36740-C02-02.
dc.language Inglés es_ES
dc.publisher Heldermann Verlag es_ES
dc.relation.ispartof Journal of Convex Analysis es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Factorization es_ES
dc.subject Banach function lattice es_ES
dc.subject Banach envelope es_ES
dc.subject Orlicz space es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Domination and Factorization of Multilinear Operators es_ES
dc.type Artículo es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2012-36740-C02-02/ES/Operadores multilineales, espacios de funciones integrables y aplicaciones/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/NCN//2011%2F01%2FB%2FST1%2F06243/ 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.description.bibliographicCitation Mastylo, M.; Sánchez Pérez, EA. (2013). Domination and Factorization of Multilinear Operators. Journal of Convex Analysis. 20(4):999-1012. http://hdl.handle.net/10251/48941 es_ES
dc.description.accrualMethod S es_ES
dc.description.upvformatpinicio 999 es_ES
dc.description.upvformatpfin 1012 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 20 es_ES
dc.description.issue 4 es_ES
dc.relation.senia 256589
dc.identifier.eissn 2363-6394
dc.contributor.funder Ministerio de Economía y Competitividad
dc.contributor.funder National Science Centre, Polonia


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