Operators on the Fréchet sequence space ces(p+), $1 \leq p &lt

[EN] The Fréchet sequence spaces ces(p+) are very different to the Fréchet sequence spaces ¿p+,1¿p<¿, that generate them, (Albanese et al. in J Math Anal Appl 458:1314¿1323, 2018). The aim of this paper is to investigate various properties (eg. continuity, compactness, mean ergodicity) of cer...

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Autores: Albanese, Angela A., Ricker, Werner J., Bonet Solves, José Antonio|||0000-0002-9096-6380
Tipo de recurso: artículo
Fecha de publicación:2019
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:10251/160090
Acceso en línea:https://riunet.upv.es/handle/10251/160090
Access Level:acceso abierto
Palabra clave:Fréchet space
Sequence space ces(p+)
Spectrum
Multiplier operator
Cesàro operator
Mean ergodic operator
MATEMATICA APLICADA
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repository_id_str
spelling Operators on the Fréchet sequence space ces(p+), $1 \leq p &lt\infty$Albanese, Angela A.Ricker, Werner J.Bonet Solves, José Antonio|||0000-0002-9096-6380Fréchet spaceSequence space ces(p+)SpectrumMultiplier operatorCesàro operatorMean ergodic operatorMATEMATICA APLICADA[EN] The Fréchet sequence spaces ces(p+) are very different to the Fréchet sequence spaces ¿p+,1¿p<¿, that generate them, (Albanese et al. in J Math Anal Appl 458:1314¿1323, 2018). The aim of this paper is to investigate various properties (eg. continuity, compactness, mean ergodicity) of certain linear operators acting in and between the spaces ces(p+), such as the Cesàro operator, inclusion operators and multiplier operators. Determination of the spectra of such classical operators is an important feature. It turns out that both the space of multiplier operators M(ces(p+)) and its subspace Mc(ces(p+)) consisting of the compact multiplier operators are independent of p. Moreover, Mc(ces(p+)) can be topologized so that it is the strong dual of the Fréchet¿Schwartz space ces(1+) and (Mc(ces(p+))¿ß¿ces(1+) is a proper subspace of the Köthe echelon Fréchet space M(ces(p+))=¿¿(A),1¿p<¿, for a suitable matrix AThe research of the first two authors was partially supported by the projects MTM2016-76647-P and GV Prometeo/2017/102 (Spain). The authors are thankful to the referees for their careful reading of the manuscript and their suggestions which improved the presentation of the article.Springer-VerlagDepartamento de Matemática AplicadaEscuela Técnica Superior de ArquitecturaInstituto Universitario de Matemática Pura y AplicadaGeneralitat ValencianaMinisterio de Economía y CompetitividadRepositorio Institucional de la Universitat Politècnica de València Riunet20192019-04-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/160090reponame: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 MTM2016-76647-P ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIAGeneralitat Valenciana https://doi.org/10.13039/501100003359 PROMETEO%2F2017%2F102 ANALISIS FUNCIONAL, TEORIA DE OPERADORES 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:10251/1600902026-06-13T07:49:27Z
dc.title.none.fl_str_mv Operators on the Fréchet sequence space ces(p+), $1 \leq p &lt
\infty$
title Operators on the Fréchet sequence space ces(p+), $1 \leq p &lt
spellingShingle Operators on the Fréchet sequence space ces(p+), $1 \leq p &lt
Albanese, Angela A.
Fréchet space
Sequence space ces(p+)
Spectrum
Multiplier operator
Cesàro operator
Mean ergodic operator
MATEMATICA APLICADA
title_short Operators on the Fréchet sequence space ces(p+), $1 \leq p &lt
title_full Operators on the Fréchet sequence space ces(p+), $1 \leq p &lt
title_fullStr Operators on the Fréchet sequence space ces(p+), $1 \leq p &lt
title_full_unstemmed Operators on the Fréchet sequence space ces(p+), $1 \leq p &lt
title_sort Operators on the Fréchet sequence space ces(p+), $1 \leq p &lt
dc.creator.none.fl_str_mv Albanese, Angela A.
Ricker, Werner J.
Bonet Solves, José Antonio|||0000-0002-9096-6380
author Albanese, Angela A.
author_facet Albanese, Angela A.
Ricker, Werner J.
Bonet Solves, José Antonio|||0000-0002-9096-6380
author_role author
author2 Ricker, Werner J.
Bonet Solves, José Antonio|||0000-0002-9096-6380
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Escuela Técnica Superior de Arquitectura
Instituto Universitario de Matemática Pura y Aplicada
Generalitat Valenciana
Ministerio de Economía y Competitividad
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Fréchet space
Sequence space ces(p+)
Spectrum
Multiplier operator
Cesàro operator
Mean ergodic operator
MATEMATICA APLICADA
topic Fréchet space
Sequence space ces(p+)
Spectrum
Multiplier operator
Cesàro operator
Mean ergodic operator
MATEMATICA APLICADA
description [EN] The Fréchet sequence spaces ces(p+) are very different to the Fréchet sequence spaces ¿p+,1¿p<¿, that generate them, (Albanese et al. in J Math Anal Appl 458:1314¿1323, 2018). The aim of this paper is to investigate various properties (eg. continuity, compactness, mean ergodicity) of certain linear operators acting in and between the spaces ces(p+), such as the Cesàro operator, inclusion operators and multiplier operators. Determination of the spectra of such classical operators is an important feature. It turns out that both the space of multiplier operators M(ces(p+)) and its subspace Mc(ces(p+)) consisting of the compact multiplier operators are independent of p. Moreover, Mc(ces(p+)) can be topologized so that it is the strong dual of the Fréchet¿Schwartz space ces(1+) and (Mc(ces(p+))¿ß¿ces(1+) is a proper subspace of the Köthe echelon Fréchet space M(ces(p+))=¿¿(A),1¿p<¿, for a suitable matrix A
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-04-01
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/10251/160090
url https://riunet.upv.es/handle/10251/160090
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 MTM2016-76647-P ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA
Generalitat Valenciana https://doi.org/10.13039/501100003359 PROMETEO%2F2017%2F102 ANALISIS FUNCIONAL, TEORIA DE OPERADORES 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
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 15.301603

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