Tensor Characterizations of Summing Polynomials

[EN] Operators T that belong to some summing operator ideal, can be characterized by means of the continuity of an associated tensor operator T that is de¿ned between tensor products of sequences spaces. In this paper we provide a unifying treatment of these tensor product characterizations of summi...

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Autores: Achour, D., Alouani, A., Rueda, P., Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
Tipo de recurso: artículo
Fecha de publicación:2018
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:10251/125576
Acceso en línea:https://riunet.upv.es/handle/10251/125576
Access Level:acceso abierto
Palabra clave:Homogeneous polynomial
Summing operator
P-nuclear operator
Tensor norm
MATEMATICA APLICADA
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spelling Tensor Characterizations of Summing PolynomialsAchour, D.Alouani, A.Rueda, P.Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154Homogeneous polynomialSumming operatorP-nuclear operatorTensor normMATEMATICA APLICADA[EN] Operators T that belong to some summing operator ideal, can be characterized by means of the continuity of an associated tensor operator T that is de¿ned between tensor products of sequences spaces. In this paper we provide a unifying treatment of these tensor product characterizations of summing operators. We work in the more general frame provided by homogeneous polynomials, where an associated ¿ten-sor¿ polynomial ¿which plays the role of T ¿, needs to be determined ¿rst. Examples of applications are shown.The third and fourth authors acknowledge with thanks the Ministerio de Economia, Industria y Competitividad and FEDER Grant MTM2016-77054-C2-1-P. The authors thank the referee for his valuable suggestions that improved the final presentation of the paper.Springer-VerlagDepartamento 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 Riunet20182018-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/125576reponame: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 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:10251/1255762026-06-13T07:49:27Z
dc.title.none.fl_str_mv Tensor Characterizations of Summing Polynomials
title Tensor Characterizations of Summing Polynomials
spellingShingle Tensor Characterizations of Summing Polynomials
Achour, D.
Homogeneous polynomial
Summing operator
P-nuclear operator
Tensor norm
MATEMATICA APLICADA
title_short Tensor Characterizations of Summing Polynomials
title_full Tensor Characterizations of Summing Polynomials
title_fullStr Tensor Characterizations of Summing Polynomials
title_full_unstemmed Tensor Characterizations of Summing Polynomials
title_sort Tensor Characterizations of Summing Polynomials
dc.creator.none.fl_str_mv Achour, D.
Alouani, A.
Rueda, P.
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author Achour, D.
author_facet Achour, D.
Alouani, A.
Rueda, P.
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author_role author
author2 Alouani, A.
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 Homogeneous polynomial
Summing operator
P-nuclear operator
Tensor norm
MATEMATICA APLICADA
topic Homogeneous polynomial
Summing operator
P-nuclear operator
Tensor norm
MATEMATICA APLICADA
description [EN] Operators T that belong to some summing operator ideal, can be characterized by means of the continuity of an associated tensor operator T that is de¿ned between tensor products of sequences spaces. In this paper we provide a unifying treatment of these tensor product characterizations of summing operators. We work in the more general frame provided by homogeneous polynomials, where an associated ¿ten-sor¿ polynomial ¿which plays the role of T ¿, needs to be determined ¿rst. Examples of applications are shown.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-01-01
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/10251/125576
url https://riunet.upv.es/handle/10251/125576
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 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 Springer-Verlag
publisher.none.fl_str_mv Springer-Verlag
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 15.300724

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