Closed surjective ideals of multilinear operators and interpolation

[EN] In this paper we introduce a function for multilinear operators that can be considered as an extension of the so-called outer measure associated to a linear operator ideal. We prove that it allows to characterize the operators that belong to a closed surjective ideal of multilinear operators as...

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Autores: Manzano, Antonio, Rueda, Pilar, Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
Tipo de recurso: artículo
Fecha de publicación:2021
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:10251/187510
Acceso en línea:https://riunet.upv.es/handle/10251/187510
Access Level:acceso abierto
Palabra clave:Ideal of multilinear operators
Closed ideal
Surjective ideal
Measure associated to an ideal
Interpolation
MATEMATICA APLICADA
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spelling Closed surjective ideals of multilinear operators and interpolationManzano, AntonioRueda, PilarSánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154Ideal of multilinear operatorsClosed idealSurjective idealMeasure associated to an idealInterpolationMATEMATICA APLICADA[EN] In this paper we introduce a function for multilinear operators that can be considered as an extension of the so-called outer measure associated to a linear operator ideal. We prove that it allows to characterize the operators that belong to a closed surjective ideal of multilinear operators as those having measure equal to zero. We also obtain some interpolation formulas for this new measure. As a consequence we deduce interpolation results for arbitrary closed surjective ideals of multilinear operators which recover, in particular, different results previously established in the literature.The authors would like to thank the referees for their useful comments which have led to improve the paper. A. Manzano was supported in part by the Ministerio de Economia, Industria y Competitividad and FEDER under project MTM2017-84058-P. P. Rueda and E. A. Sanchez-Perez were supported in part by the Ministerio de Economia, Industria y Competitividad and FEDER under project MTM2016-77054-C2-1-P.Duke University PressDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería de Caminos, Canales y PuertosAgencia Estatal de InvestigaciónEuropean Regional Development FundMinisterio de Economía y CompetitividadRepositorio Institucional de la Universitat Politècnica de València Riunet20212021-04-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/187510reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016 MTM2017-84058-P INTERPOLACION, ESPACIOS DE FUNCIONES Y COMPACIDAD DE OPERADORESMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2016-77054-C2-1-P ANÁLISIS NO LINEAL, INTEGRACIÓN VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACIÓNopen 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:10251/1875102026-06-13T07:49:27Z
dc.title.none.fl_str_mv Closed surjective ideals of multilinear operators and interpolation
title Closed surjective ideals of multilinear operators and interpolation
spellingShingle Closed surjective ideals of multilinear operators and interpolation
Manzano, Antonio
Ideal of multilinear operators
Closed ideal
Surjective ideal
Measure associated to an ideal
Interpolation
MATEMATICA APLICADA
title_short Closed surjective ideals of multilinear operators and interpolation
title_full Closed surjective ideals of multilinear operators and interpolation
title_fullStr Closed surjective ideals of multilinear operators and interpolation
title_full_unstemmed Closed surjective ideals of multilinear operators and interpolation
title_sort Closed surjective ideals of multilinear operators and interpolation
dc.creator.none.fl_str_mv Manzano, Antonio
Rueda, Pilar
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author Manzano, Antonio
author_facet Manzano, Antonio
Rueda, Pilar
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author_role author
author2 Rueda, Pilar
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
Agencia Estatal de Investigación
European Regional Development Fund
Ministerio de Economía y Competitividad
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Ideal of multilinear operators
Closed ideal
Surjective ideal
Measure associated to an ideal
Interpolation
MATEMATICA APLICADA
topic Ideal of multilinear operators
Closed ideal
Surjective ideal
Measure associated to an ideal
Interpolation
MATEMATICA APLICADA
description [EN] In this paper we introduce a function for multilinear operators that can be considered as an extension of the so-called outer measure associated to a linear operator ideal. We prove that it allows to characterize the operators that belong to a closed surjective ideal of multilinear operators as those having measure equal to zero. We also obtain some interpolation formulas for this new measure. As a consequence we deduce interpolation results for arbitrary closed surjective ideals of multilinear operators which recover, in particular, different results previously established in the literature.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-04-01
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/10251/187510
url https://riunet.upv.es/handle/10251/187510
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016 MTM2017-84058-P INTERPOLACION, ESPACIOS DE FUNCIONES Y COMPACIDAD DE OPERADORES
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2016-77054-C2-1-P ANÁLISIS NO LINEAL, INTEGRACIÓN VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACIÓN
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 Duke University Press
publisher.none.fl_str_mv Duke University 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
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score 15,300719

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