Domination spaces and factorization of linear and multilinear summing operators

[EN] It is well known that not every summability property for multilinear operators leads to a factorization theorem. In this paper we undertake a detailed study of factorization schemes for summing linear and nonlinear operators. Our aim is to integrate under the same theory a wide family of classe...

Descripción completa

Detalles Bibliográficos
Autores: Achour, D., Dahia, E., Rueda, P., Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
Tipo de recurso: artículo
Fecha de publicación:2016
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:10251/150365
Acceso en línea:https://riunet.upv.es/handle/10251/150365
Access Level:acceso abierto
Palabra clave:Pietsch&apos
s domination theorem
Factorization of operators
Multilinear summing operators
MATEMATICA APLICADA
id ES_82ae72e36c52f09ea51b759dfe688cae
oai_identifier_str oai:riunet.upv.es:10251/150365
network_acronym_str ES
network_name_str España
repository_id_str
spelling Domination spaces and factorization of linear and multilinear summing operatorsAchour, D.Dahia, E.Rueda, P.Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154Pietsch&aposs domination theoremFactorization of operatorsMultilinear summing operatorsMATEMATICA APLICADA[EN] It is well known that not every summability property for multilinear operators leads to a factorization theorem. In this paper we undertake a detailed study of factorization schemes for summing linear and nonlinear operators. Our aim is to integrate under the same theory a wide family of classes of mappings for which a Pietsch type factorization theorem holds. Our construction includes the cases of absolutely p-summing linear operators, (p, sigma)-absolutely continuous linear operators, factorable strongly p-summing multilinear operators, (p(1), ... , p(n))-dominated multilinear operators and dominated (p(1), ... , p(n); sigma)-continuous multilinear operators.Supported by the Ministerio de Economia y Competitividad (Spain) under Grant MTM2015-66823-C2-2. Supported by the Ministerio de Economia y Competitividad (Spain) under Grant MTM2012-36740-C02-02.Informa UK (National Inquiry Services Center)Departamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería de Caminos, Canales y PuertosMinisterio de Economía y CompetitividadRepositorio Institucional de la Universitat Politècnica de València Riunet20162016-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/150365reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2012-36740-C02-02 Operadores multilineales, espacios de funciones integrables y aplicacionesMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2015-66823-C2-2-P AVANCES EN LA SUMABILIDAD DE OPERADORES LINEALES Y NO LINEALES Y LA GEOMETRIA DE LOS ESPACIOS DE FUNCIONES INTEGRABLES.open 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:10251/1503652026-06-13T07:49:27Z
dc.title.none.fl_str_mv Domination spaces and factorization of linear and multilinear summing operators
title Domination spaces and factorization of linear and multilinear summing operators
spellingShingle Domination spaces and factorization of linear and multilinear summing operators
Achour, D.
Pietsch&apos
s domination theorem
Factorization of operators
Multilinear summing operators
MATEMATICA APLICADA
title_short Domination spaces and factorization of linear and multilinear summing operators
title_full Domination spaces and factorization of linear and multilinear summing operators
title_fullStr Domination spaces and factorization of linear and multilinear summing operators
title_full_unstemmed Domination spaces and factorization of linear and multilinear summing operators
title_sort Domination spaces and factorization of linear and multilinear summing operators
dc.creator.none.fl_str_mv Achour, D.
Dahia, E.
Rueda, P.
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author Achour, D.
author_facet Achour, D.
Dahia, E.
Rueda, P.
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author_role author
author2 Dahia, E.
Rueda, P.
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author2_role author
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
Ministerio de Economía y Competitividad
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Pietsch&apos
s domination theorem
Factorization of operators
Multilinear summing operators
MATEMATICA APLICADA
topic Pietsch&apos
s domination theorem
Factorization of operators
Multilinear summing operators
MATEMATICA APLICADA
description [EN] It is well known that not every summability property for multilinear operators leads to a factorization theorem. In this paper we undertake a detailed study of factorization schemes for summing linear and nonlinear operators. Our aim is to integrate under the same theory a wide family of classes of mappings for which a Pietsch type factorization theorem holds. Our construction includes the cases of absolutely p-summing linear operators, (p, sigma)-absolutely continuous linear operators, factorable strongly p-summing multilinear operators, (p(1), ... , p(n))-dominated multilinear operators and dominated (p(1), ... , p(n); sigma)-continuous multilinear operators.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01
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/10251/150365
url https://riunet.upv.es/handle/10251/150365
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2012-36740-C02-02 Operadores multilineales, espacios de funciones integrables y aplicaciones
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2015-66823-C2-2-P AVANCES EN LA SUMABILIDAD DE OPERADORES LINEALES Y NO LINEALES Y LA GEOMETRIA DE LOS ESPACIOS DE FUNCIONES INTEGRABLES.
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 Informa UK (National Inquiry Services Center)
publisher.none.fl_str_mv Informa UK (National Inquiry Services Center)
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_ 1869412063813566464
score 15,300719

Similares en LA Referencia