The Cesàro operator on Korenblum type spaces of analytic functions

[EN] The spectrum of the CesA ro operator , which is always continuous (but never compact) when acting on the classical Korenblum space and other related weighted Fr,chet or (LB) spaces of analytic functions on the open unit disc, is completely determined. It turns out that such spaces are always Sc...

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Authors: Albanese, Angela, Ricker, Werner J., Bonet Solves, José Antonio|||0000-0002-9096-6380
Format: article
Publication Date:2018
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/107452
Online Access:https://riunet.upv.es/handle/10251/107452
Access Level:Open access
Keyword:Cesaro operator
Weighted spaces of analytic functions
Spectrum
Frechet spaces
(LB)-spaces
Mean ergodicity
MATEMATICA APLICADA
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spelling The Cesàro operator on Korenblum type spaces of analytic functionsAlbanese, AngelaRicker, Werner J.Bonet Solves, José Antonio|||0000-0002-9096-6380Cesaro operatorWeighted spaces of analytic functionsSpectrumFrechet spaces(LB)-spacesMean ergodicityMATEMATICA APLICADA[EN] The spectrum of the CesA ro operator , which is always continuous (but never compact) when acting on the classical Korenblum space and other related weighted Fr,chet or (LB) spaces of analytic functions on the open unit disc, is completely determined. It turns out that such spaces are always Schwartz but, with the exception of the Korenblum space, never nuclear. Some consequences concerning the mean ergodicity of are deduced.The research of the first two authors was partially supported by the projects MTM2013-43540-P and MTM2016-76647-P. The second author gratefully acknowledges the support of the Alexander von Humboldt Foundation.Springer-VerlagDepartamento de Matemática AplicadaEscuela Técnica Superior de ArquitecturaInstituto Universitario de Matemática Pura y AplicadaMinisterio 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/10251/107452reponame: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-FRECUENCIAMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2013-43540-P METODOS DEL ANALISIS FUNCIONAL Y TEORIA DE OPERADORESopen 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:10251/1074522026-06-13T07:49:27Z
dc.title.none.fl_str_mv The Cesàro operator on Korenblum type spaces of analytic functions
title The Cesàro operator on Korenblum type spaces of analytic functions
spellingShingle The Cesàro operator on Korenblum type spaces of analytic functions
Albanese, Angela
Cesaro operator
Weighted spaces of analytic functions
Spectrum
Frechet spaces
(LB)-spaces
Mean ergodicity
MATEMATICA APLICADA
title_short The Cesàro operator on Korenblum type spaces of analytic functions
title_full The Cesàro operator on Korenblum type spaces of analytic functions
title_fullStr The Cesàro operator on Korenblum type spaces of analytic functions
title_full_unstemmed The Cesàro operator on Korenblum type spaces of analytic functions
title_sort The Cesàro operator on Korenblum type spaces of analytic functions
dc.creator.none.fl_str_mv Albanese, Angela
Ricker, Werner J.
Bonet Solves, José Antonio|||0000-0002-9096-6380
author Albanese, Angela
author_facet Albanese, Angela
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
Ministerio de Economía y Competitividad
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Cesaro operator
Weighted spaces of analytic functions
Spectrum
Frechet spaces
(LB)-spaces
Mean ergodicity
MATEMATICA APLICADA
topic Cesaro operator
Weighted spaces of analytic functions
Spectrum
Frechet spaces
(LB)-spaces
Mean ergodicity
MATEMATICA APLICADA
description [EN] The spectrum of the CesA ro operator , which is always continuous (but never compact) when acting on the classical Korenblum space and other related weighted Fr,chet or (LB) spaces of analytic functions on the open unit disc, is completely determined. It turns out that such spaces are always Schwartz but, with the exception of the Korenblum space, never nuclear. Some consequences concerning the mean ergodicity of are deduced.
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/10251/107452
url https://riunet.upv.es/handle/10251/107452
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
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2013-43540-P METODOS DEL ANALISIS FUNCIONAL Y TEORIA DE OPERADORES
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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