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

[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 o...

Descripción completa

Detalles Bibliográficos
Autores: Mastylo, Mieczyslaw, Rueda, P., Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/149074
Acceso en línea:https://riunet.upv.es/handle/10251/149074
Access Level:acceso abierto
Palabra clave:Factorization
Summing polynomials
Pisier&apos
s theorem
MATEMATICA APLICADA
id ES_ad684f4e078bf7c36979cf0dc998bbc0
oai_identifier_str oai:riunet.upv.es:10251/149074
network_acronym_str ES
network_name_str España
repository_id_str
spelling Factorization of (q, p)-summing polynomials through Lorentz spacesMastylo, MieczyslawRueda, P.Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154FactorizationSumming polynomialsPisier&aposs theoremMATEMATICA APLICADA[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.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.ElsevierDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería de Caminos, Canales y PuertosNational Science Centre, PoloniaMinisterio de Economía y CompetitividadRepositorio Institucional de la Universitat Politècnica de València Riunet20172017-05-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/149074reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengNational Science Centre, Polonia https://doi.org/10.13039/501100004281 2011%2F01%2FB%2FST1%2F06243Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2016-77054-C2-1-P ANALISIS NO LINEAL, INTEGRACION VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACIONopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1490742026-06-13T07:49:27Z
dc.title.none.fl_str_mv Factorization of (q, p)-summing polynomials through Lorentz spaces
title Factorization of (q, p)-summing polynomials through Lorentz spaces
spellingShingle Factorization of (q, p)-summing polynomials through Lorentz spaces
Mastylo, Mieczyslaw
Factorization
Summing polynomials
Pisier&apos
s theorem
MATEMATICA APLICADA
title_short Factorization of (q, p)-summing polynomials through Lorentz spaces
title_full Factorization of (q, p)-summing polynomials through Lorentz spaces
title_fullStr Factorization of (q, p)-summing polynomials through Lorentz spaces
title_full_unstemmed Factorization of (q, p)-summing polynomials through Lorentz spaces
title_sort Factorization of (q, p)-summing polynomials through Lorentz spaces
dc.creator.none.fl_str_mv Mastylo, Mieczyslaw
Rueda, P.
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author Mastylo, Mieczyslaw
author_facet Mastylo, Mieczyslaw
Rueda, P.
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author_role author
author2 Rueda, P.
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Instituto Universitario de Matemática Pura y Aplicada
Escuela Técnica Superior de Ingeniería de Caminos, Canales y Puertos
National Science Centre, Polonia
Ministerio de Economía y Competitividad
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Factorization
Summing polynomials
Pisier&apos
s theorem
MATEMATICA APLICADA
topic Factorization
Summing polynomials
Pisier&apos
s theorem
MATEMATICA APLICADA
description [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.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-05-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/149074
url https://riunet.upv.es/handle/10251/149074
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv National Science Centre, Polonia https://doi.org/10.13039/501100004281 2011%2F01%2FB%2FST1%2F06243
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2016-77054-C2-1-P ANALISIS NO LINEAL, INTEGRACION VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACION
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869416437111586816
score 15,300719

Similares en LA Referencia