Factorization theorems for homogeneous maps on banach function spaces and approximation of compact operators

[EN] In this paper, we characterize compact linear operators from Banach function spaces to Banach spaces by means of approximations with bounded homogeneous maps. To do so, we undertake a detailed study of such maps, proving a factorization theorem and paying special attention to the equivalent str...

Descripción completa

Detalles Bibliográficos
Autores: Rueda, Pilar, Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
Tipo de recurso: artículo
Fecha de publicación:2015
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:10251/78709
Acceso en línea:https://riunet.upv.es/handle/10251/78709
Access Level:acceso abierto
Palabra clave:Banach function space
P-th power, compact operator
Homogeneous operator
MATEMATICA APLICADA
id ES_962d51095cffdc1a48bbd9ccfc38dbaf
oai_identifier_str oai:riunet.upv.es:10251/78709
network_acronym_str ES
network_name_str España
repository_id_str
spelling Factorization theorems for homogeneous maps on banach function spaces and approximation of compact operatorsRueda, PilarSánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154Banach function spaceP-th power, compact operatorHomogeneous operatorMATEMATICA APLICADA[EN] In this paper, we characterize compact linear operators from Banach function spaces to Banach spaces by means of approximations with bounded homogeneous maps. To do so, we undertake a detailed study of such maps, proving a factorization theorem and paying special attention to the equivalent strong domination property involved. Some applications to compact maximal extensions of operators are also given.The authors thank the referee for his/her careful revision and suggestions. The first author gratefully acknowledges the support of the Ministerio de Economia y Competitividad (Spain), under Project #MTM2011-22417. The second author gratefully acknowledges the support of the Ministerio de Economia y Competitividad (Spain), under Project #MTM2012-36740-c02-02.Springer Verlag (Germany)Departamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería de Caminos, Canales y PuertosMinisterio de Economía y CompetitividadMinisterio de Ciencia e InnovaciónRepositorio Institucional de la Universitat Politècnica de València Riunet20152015-02-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/78709reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2011-22417 ESPACIOS Y ALGEBRAS DE FUNCIONES DIFERENCIABLESMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2012-36740-C02-02 Operadores multilineales, espacios de funciones integrables y aplicacionesopen 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:10251/787092026-06-13T07:49:27Z
dc.title.none.fl_str_mv Factorization theorems for homogeneous maps on banach function spaces and approximation of compact operators
title Factorization theorems for homogeneous maps on banach function spaces and approximation of compact operators
spellingShingle Factorization theorems for homogeneous maps on banach function spaces and approximation of compact operators
Rueda, Pilar
Banach function space
P-th power, compact operator
Homogeneous operator
MATEMATICA APLICADA
title_short Factorization theorems for homogeneous maps on banach function spaces and approximation of compact operators
title_full Factorization theorems for homogeneous maps on banach function spaces and approximation of compact operators
title_fullStr Factorization theorems for homogeneous maps on banach function spaces and approximation of compact operators
title_full_unstemmed Factorization theorems for homogeneous maps on banach function spaces and approximation of compact operators
title_sort Factorization theorems for homogeneous maps on banach function spaces and approximation of compact operators
dc.creator.none.fl_str_mv Rueda, Pilar
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author Rueda, Pilar
author_facet Rueda, Pilar
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
Ministerio de Economía y Competitividad
Ministerio de Ciencia e Innovación
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Banach function space
P-th power, compact operator
Homogeneous operator
MATEMATICA APLICADA
topic Banach function space
P-th power, compact operator
Homogeneous operator
MATEMATICA APLICADA
description [EN] In this paper, we characterize compact linear operators from Banach function spaces to Banach spaces by means of approximations with bounded homogeneous maps. To do so, we undertake a detailed study of such maps, proving a factorization theorem and paying special attention to the equivalent strong domination property involved. Some applications to compact maximal extensions of operators are also given.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-02-01
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/10251/78709
url https://riunet.upv.es/handle/10251/78709
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2011-22417 ESPACIOS Y ALGEBRAS DE FUNCIONES DIFERENCIABLES
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2012-36740-C02-02 Operadores multilineales, espacios de funciones integrables y aplicaciones
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 (Germany)
publisher.none.fl_str_mv Springer Verlag (Germany)
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_ 1869413929388605440
score 15.300719

Similares en LA Referencia