Factorization theorems for some new classes of multilinear operators

[EN] Two new classes of summing multilinear operators, factorable (q,p)-summing operators and (r;p,q)-summing operators are studied. These classes are described in terms of factorization. It is shown that operators in the first (resp., the second) class admit the factorization through the injective...

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Autores: Mastylo, M., Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
Tipo de recurso: artículo
Fecha de publicación:2020
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:10251/166346
Acceso en línea:https://riunet.upv.es/handle/10251/166346
Access Level:acceso abierto
Palabra clave:Bilinear operator
Fourier integral bilinear operators
Factorization
Pisier&apos
s Theorem
MATEMATICA APLICADA
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spelling Factorization theorems for some new classes of multilinear operatorsMastylo, M.Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154Bilinear operatorFourier integral bilinear operatorsFactorizationPisier&aposs TheoremMATEMATICA APLICADA[EN] Two new classes of summing multilinear operators, factorable (q,p)-summing operators and (r;p,q)-summing operators are studied. These classes are described in terms of factorization. It is shown that operators in the first (resp., the second) class admit the factorization through the injective tensor product of Banach spaces (resp., through some Banach lattices). Applications in different contexts related to Grothendieck Theorem and Fourier integral bilinear operators are shown. Motivated by Pisier¿s Theorem on factorization of (q,1)-summing operators from C(K)-spaces through Lorentz spaces Lq,1 on some probability Borel measure spaces, we prove two variants of Pisier¿s Theorem for bilinear operators on the product of C(K)-spaces. We also prove bilinear versions of Mityagin¿Pe¿czy¿ski and Kislyakov Theorems.The research was supported by National Science Centre of Poland, project 2015/17/B/ST1/00064. The research was supported by the Ministerio de Ciencia, Innovacion y Universidades, Agencia Estatal de Investigacion (Spain) and FEDER under project MTM2016-77054-C2-1-P.International PressDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería de Caminos, Canales y PuertosNational Science Centre, PoloniaAgencia Estatal de InvestigaciónEuropean Regional Development FundMinisterio de Economía y CompetitividadMinisterio de Ciencia, Innovación y UniversidadesRepositorio Institucional de la Universitat Politècnica de València Riunet20202020-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/166346reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengNational Science Centre, Polonia https://doi.org/10.13039/501100004281 2015%2F17%2FB%2FST1%2F00064Ministerio 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_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1663462026-06-13T07:49:27Z
dc.title.none.fl_str_mv Factorization theorems for some new classes of multilinear operators
title Factorization theorems for some new classes of multilinear operators
spellingShingle Factorization theorems for some new classes of multilinear operators
Mastylo, M.
Bilinear operator
Fourier integral bilinear operators
Factorization
Pisier&apos
s Theorem
MATEMATICA APLICADA
title_short Factorization theorems for some new classes of multilinear operators
title_full Factorization theorems for some new classes of multilinear operators
title_fullStr Factorization theorems for some new classes of multilinear operators
title_full_unstemmed Factorization theorems for some new classes of multilinear operators
title_sort Factorization theorems for some new classes of multilinear operators
dc.creator.none.fl_str_mv Mastylo, M.
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author Mastylo, M.
author_facet Mastylo, M.
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author_role author
author2 Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author2_role 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
Agencia Estatal de Investigación
European Regional Development Fund
Ministerio de Economía y Competitividad
Ministerio de Ciencia, Innovación y Universidades
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Bilinear operator
Fourier integral bilinear operators
Factorization
Pisier&apos
s Theorem
MATEMATICA APLICADA
topic Bilinear operator
Fourier integral bilinear operators
Factorization
Pisier&apos
s Theorem
MATEMATICA APLICADA
description [EN] Two new classes of summing multilinear operators, factorable (q,p)-summing operators and (r;p,q)-summing operators are studied. These classes are described in terms of factorization. It is shown that operators in the first (resp., the second) class admit the factorization through the injective tensor product of Banach spaces (resp., through some Banach lattices). Applications in different contexts related to Grothendieck Theorem and Fourier integral bilinear operators are shown. Motivated by Pisier¿s Theorem on factorization of (q,1)-summing operators from C(K)-spaces through Lorentz spaces Lq,1 on some probability Borel measure spaces, we prove two variants of Pisier¿s Theorem for bilinear operators on the product of C(K)-spaces. We also prove bilinear versions of Mityagin¿Pe¿czy¿ski and Kislyakov Theorems.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-01-01
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/10251/166346
url https://riunet.upv.es/handle/10251/166346
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 2015%2F17%2FB%2FST1%2F00064
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
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
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
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv International Press
publisher.none.fl_str_mv International Press
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_ 1869403647576637440
score 15.300724

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