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Pietsch-Maurey-Rosenthal factorization of summing multilinear operators

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Pietsch-Maurey-Rosenthal factorization of summing 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 2020-06-04T06:30:51Z
dc.date.available 2020-06-04T06:30:51Z
dc.date.issued 2018-09 es_ES
dc.identifier.issn 0208-6573 es_ES
dc.identifier.uri http://hdl.handle.net/10251/145204
dc.description.abstract [EN] The main purpose of this paper is the study of a new class of summing mul-tilinear operators acting from the product of Banach lattices with some nontrivial lattice convexity. A mixed Pietsch-Maurey-Rosenthal type factorization theorem for these opera-tors is proved under weaker convexity requirements than the ones that are needed in the Maurey-Rosenthal factorization through products of Lq-spaces. A by-product of our fac-torization is an extension of multilinear operators de¿ned by a q-concavity type property to a product of special Banach function lattices which inherit some lattice-geometric prop-erties of the domain spaces, as order continuity and p-convexity. Factorization through Fremlin¿s tensor products is also analyzed. Applications are presented to study a special class of linear operators between Banach function lattices that can be characterized by a strong version of q-concavity. This class contains q-dominated operators, and so the obtained results provide a new factorization theorem for operators from this class. es_ES
dc.description.sponsorship The first named author was supported by National Science Center, Poland, project no. 2015/17/B/ST1/00064. The second named author was supported by the Ministerio de Economia y Competitividad (Spain) under project MTM2016-77054-C2-1-P. es_ES
dc.language Inglés es_ES
dc.publisher Adam Mickiewicz University es_ES
dc.relation.ispartof Functiones et Approximatio Commentarii Mathematici es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Extension es_ES
dc.subject Summing multilinear operator es_ES
dc.subject Factorization es_ES
dc.subject P-convex es_ES
dc.subject Banach lattice es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Pietsch-Maurey-Rosenthal factorization of summing multilinear operators es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.7169/facm/1683 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/NCN//2015%2F17%2FB%2FST1%2F00064/ 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 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. (2018). Pietsch-Maurey-Rosenthal factorization of summing multilinear operators. Functiones et Approximatio Commentarii Mathematici. 59(1):57-76. https://doi.org/10.7169/facm/1683 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.7169/facm/1683 es_ES
dc.description.upvformatpinicio 57 es_ES
dc.description.upvformatpfin 76 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 59 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\373849 es_ES
dc.contributor.funder National Science Centre, Polonia es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES


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