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Factorization of (q, p)-summing polynomials through Lorentz spaces

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Factorization of (q, p)-summing polynomials through Lorentz spaces

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dc.contributor.author Mastylo, Mieczyslaw es_ES
dc.contributor.author Rueda, P. es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2020-07-31T03:31:05Z
dc.date.available 2020-07-31T03:31:05Z
dc.date.issued 2017-05-01 es_ES
dc.identifier.issn 0022-247X es_ES
dc.identifier.uri http://hdl.handle.net/10251/149074
dc.description.abstract [EN] We present a vector valued duality between factorable (q,p)-summing polynomials and (q,p)-summing linear operators on symmetric tensor products of Banach spaces. Several applications are provided. First, we prove a polynomial characterization of cotype of Banach spaces. We also give a variant of Pisier's factorization through Lorentz spaces of factorable (q,p)-summing polynomials from C(K)-spaces. Finally, we show a coincidence result for (q,p)-concave polynomials.(c) 2016 Elsevier Inc. All rights reserved. es_ES
dc.description.sponsorship The first named author was supported by The National Science Centre (NCN), Poland, project no. 2011/01/B/ST1/06243. The second and third authors were 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 Elsevier es_ES
dc.relation.ispartof Journal of Mathematical Analysis and Applications es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Factorization es_ES
dc.subject Summing polynomials es_ES
dc.subject Pisier's theorem es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Factorization of (q, p)-summing polynomials through Lorentz spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.jmaa.2016.12.005 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/NCN//2011%2F01%2FB%2FST1%2F06243/ 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 Mastylo, M.; Rueda, P.; Sánchez Pérez, EA. (2017). Factorization of (q, p)-summing polynomials through Lorentz spaces. Journal of Mathematical Analysis and Applications. 449(1):195-206. https://doi.org/10.1016/j.jmaa.2016.12.005 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.jmaa.2016.12.005 es_ES
dc.description.upvformatpinicio 195 es_ES
dc.description.upvformatpfin 206 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 449 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\354300 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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