Generalized Cesàro operators in weighted Banach spaces of analytic functions with sup-norms

[EN] An investigation is made of the generalized Cesaro operators Ct\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C_...

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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:2025
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:10251/206694
Acceso en línea:https://riunet.upv.es/handle/10251/206694
Access Level:acceso abierto
Palabra clave:Generalized Cesaro operator
Weighted Banach spaces of analytic functions
Compact operator
Spectrum
Supercyclic
Mean ergodic
Power bounded
MATEMATICA APLICADA
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network_name_str España
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dc.title.none.fl_str_mv Generalized Cesàro operators in weighted Banach spaces of analytic functions with sup-norms
title Generalized Cesàro operators in weighted Banach spaces of analytic functions with sup-norms
spellingShingle Generalized Cesàro operators in weighted Banach spaces of analytic functions with sup-norms
Albanese, Angela A.
Generalized Cesaro operator
Weighted Banach spaces of analytic functions
Compact operator
Spectrum
Supercyclic
Mean ergodic
Power bounded
MATEMATICA APLICADA
title_short Generalized Cesàro operators in weighted Banach spaces of analytic functions with sup-norms
title_full Generalized Cesàro operators in weighted Banach spaces of analytic functions with sup-norms
title_fullStr Generalized Cesàro operators in weighted Banach spaces of analytic functions with sup-norms
title_full_unstemmed Generalized Cesàro operators in weighted Banach spaces of analytic functions with sup-norms
title_sort Generalized Cesàro operators in weighted Banach spaces of analytic functions with sup-norms
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
Agencia Estatal de Investigación
European Regional Development Fund
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Generalized Cesaro operator
Weighted Banach spaces of analytic functions
Compact operator
Spectrum
Supercyclic
Mean ergodic
Power bounded
MATEMATICA APLICADA
topic Generalized Cesaro operator
Weighted Banach spaces of analytic functions
Compact operator
Spectrum
Supercyclic
Mean ergodic
Power bounded
MATEMATICA APLICADA
description [EN] An investigation is made of the generalized Cesaro operators Ct\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C_t$$\end{document}, for t is an element of[0,1]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$t\in [0,1]$$\end{document}, when they act on the space H(D)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H({{\mathbb {D}}})$$\end{document} of holomorphic functions on the open unit disc D\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathbb {D}}}$$\end{document}, on the Banach space H infinity\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H<^>\infty $$\end{document} of bounded analytic functions and on the weighted Banach spaces Hv infinity\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_v<^>\infty $$\end{document} and Hv0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_v<^>0$$\end{document} with their sup-norms. Of particular interest are the continuity, compactness, spectrum and point spectrum of Ct\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C_t$$\end{document} as well as their linear dynamics and mean ergodicity.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-05-01
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/10251/206694
url https://riunet.upv.es/handle/10251/206694
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 2017-2020 PID2020-119457GB-I00 METODOS DEL ANALISIS FUNCIONAL PARA LA TEORIA DE OPERADORES Y EL ANALISIS TIEMPO-FRECUENCIA
Generalitat Valenciana https://doi.org/10.13039/501100003359 AICO%2F2021%2F170
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
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eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 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
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spelling Generalized Cesàro operators in weighted Banach spaces of analytic functions with sup-normsAlbanese, Angela A.Ricker, Werner J.Bonet Solves, José Antonio|||0000-0002-9096-6380Generalized Cesaro operatorWeighted Banach spaces of analytic functionsCompact operatorSpectrumSupercyclicMean ergodicPower boundedMATEMATICA APLICADA[EN] An investigation is made of the generalized Cesaro operators Ct\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C_t$$\end{document}, for t is an element of[0,1]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$t\in [0,1]$$\end{document}, when they act on the space H(D)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H({{\mathbb {D}}})$$\end{document} of holomorphic functions on the open unit disc D\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathbb {D}}}$$\end{document}, on the Banach space H infinity\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H<^>\infty $$\end{document} of bounded analytic functions and on the weighted Banach spaces Hv infinity\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_v<^>\infty $$\end{document} and Hv0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_v<^>0$$\end{document} with their sup-norms. Of particular interest are the continuity, compactness, spectrum and point spectrum of Ct\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C_t$$\end{document} as well as their linear dynamics and mean ergodicity.The research of J. Bonet was partially supported by the Project PID2020-119457GB-100 funded by MCIN/AEI/10.13039/501100011033 and by "ERFD A way of making Europe" and by the project GV AICO/2021/170.Springer-VerlagDepartamento de Matemática AplicadaEscuela Técnica Superior de ArquitecturaInstituto Universitario de Matemática Pura y AplicadaGeneralitat ValencianaAgencia Estatal de InvestigaciónEuropean Regional Development FundRepositorio Institucional de la Universitat Politècnica de València Riunet20252025-05-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/206694reponame: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 2017-2020 PID2020-119457GB-I00 METODOS DEL ANALISIS FUNCIONAL PARA LA TEORIA DE OPERADORES Y EL ANALISIS TIEMPO-FRECUENCIAGeneralitat Valenciana https://doi.org/10.13039/501100003359 AICO%2F2021%2F170open accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento (by)http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2066942026-06-13T07:49:27Z
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