On Disjoint Dynamical Properties and Lipschitz-Free Spaces

[EN] The notion of disjoint A-transitivity for a Furstenberg family A is introduced with the aim of generalizing properties derived from disjoint hypercyclic operators. We begin a systematic study by showing some of the basic properties, including necessary conditions to inherit the property on the...

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Autores: Cobollo-Gómez, Christian|||0000-0002-5901-5798, Peris Manguillot, Alfredo|||0000-0003-1683-2373
Tipo de documento: artigo
Data de publicação:2025
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositório:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglês
OAI Identifier:oai:riunet.upv.es:10251/219970
Acesso em linha:https://riunet.upv.es/handle/10251/219970
Access Level:Acceso aberto
Palavra-chave:Hypercyclicity
Disjoint Hypercyclicity
Linear Dynamics
Lipschitz-free
Metric spaces
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spelling On Disjoint Dynamical Properties and Lipschitz-Free SpacesCobollo-Gómez, Christian|||0000-0002-5901-5798Peris Manguillot, Alfredo|||0000-0003-1683-2373HypercyclicityDisjoint HypercyclicityLinear DynamicsLipschitz-freeMetric spaces[EN] The notion of disjoint A-transitivity for a Furstenberg family A is introduced with the aim of generalizing properties derived from disjoint hypercyclic operators. We begin a systematic study by showing some of the basic properties, including necessary conditions to inherit the property on the whole space from an invariant linearly dense set containing the origin. As a consequence, we continue the study of the link between non-linear and linear dynamics through Lipschitz-free spaces by presenting some necessary conditions to obtain disjoint A-transitivity for families of Lipschitz-free operators on F(M) expressed in terms of conditions in the underlying metric space M.Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. The authors were supported by Generalitat Valenciana, under project PROMETEU/2021/070, and by MICIU/AEI/ 10.13039/ 501100011033/FEDER, UE, through Projects PID2019-105011GB-I00 and PID2022-139449NB-I00. The first author was also supported by Generalitat Valenciana, through the predoctoral fellowship CIACIF/2021/378, and by MICIU/AEI/10.13039/501100011033/FEDER, UE, through Project PID2021- 122126NB-C33. Funding for open access charge: CRUE-Universitat Politecnica de Valencia.Springer-VerlagDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería de TelecomunicaciónEscuela Técnica Superior de ArquitecturaGENERALITAT VALENCIANAAGENCIA ESTATAL DE INVESTIGACIONEuropean Regional Development FundMinisterio de Ciencia e InnovaciónUniversitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20252025-02-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/219970reponame: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 PID2019-105011GB-I00 DINAMICA DE OPERADORESAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-122126NB-C33 ANALISIS COMPLEJO Y GEOMETRIA EN ESPACIOS DE BANACHAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2022-139449NB-I00 DINAMICA DE OPERADORES Y ECUACIONES DE EVOLUCIONGeneralitat Valenciana https://doi.org/10.13039/501100003359 PROMETEO%2F2021%2F070 Análisis funcional, dinámica de operadores y aplicacionesGeneralitat Valenciana https://doi.org/10.13039/501100003359 CIACIF%2F2021%2F378 DIFERENCIABILIDAD EN ESPACIOS DE BANACH NO SEPARABLES: DESARROLLO E IMPLEMENTACION DE NUEVAS TECNICAS EN EL ESTUDIO DE LA GEOMETRIA DE LOS ESPACIOS NORMADOSopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento (by)http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2199702026-06-13T07:49:27Z
dc.title.none.fl_str_mv On Disjoint Dynamical Properties and Lipschitz-Free Spaces
title On Disjoint Dynamical Properties and Lipschitz-Free Spaces
spellingShingle On Disjoint Dynamical Properties and Lipschitz-Free Spaces
Cobollo-Gómez, Christian|||0000-0002-5901-5798
Hypercyclicity
Disjoint Hypercyclicity
Linear Dynamics
Lipschitz-free
Metric spaces
title_short On Disjoint Dynamical Properties and Lipschitz-Free Spaces
title_full On Disjoint Dynamical Properties and Lipschitz-Free Spaces
title_fullStr On Disjoint Dynamical Properties and Lipschitz-Free Spaces
title_full_unstemmed On Disjoint Dynamical Properties and Lipschitz-Free Spaces
title_sort On Disjoint Dynamical Properties and Lipschitz-Free Spaces
dc.creator.none.fl_str_mv Cobollo-Gómez, Christian|||0000-0002-5901-5798
Peris Manguillot, Alfredo|||0000-0003-1683-2373
author Cobollo-Gómez, Christian|||0000-0002-5901-5798
author_facet Cobollo-Gómez, Christian|||0000-0002-5901-5798
Peris Manguillot, Alfredo|||0000-0003-1683-2373
author_role author
author2 Peris Manguillot, Alfredo|||0000-0003-1683-2373
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 Telecomunicación
Escuela Técnica Superior de Arquitectura
GENERALITAT VALENCIANA
AGENCIA ESTATAL DE INVESTIGACION
European Regional Development Fund
Ministerio de Ciencia e Innovación
Universitat Politècnica de València
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Hypercyclicity
Disjoint Hypercyclicity
Linear Dynamics
Lipschitz-free
Metric spaces
topic Hypercyclicity
Disjoint Hypercyclicity
Linear Dynamics
Lipschitz-free
Metric spaces
description [EN] The notion of disjoint A-transitivity for a Furstenberg family A is introduced with the aim of generalizing properties derived from disjoint hypercyclic operators. We begin a systematic study by showing some of the basic properties, including necessary conditions to inherit the property on the whole space from an invariant linearly dense set containing the origin. As a consequence, we continue the study of the link between non-linear and linear dynamics through Lipschitz-free spaces by presenting some necessary conditions to obtain disjoint A-transitivity for families of Lipschitz-free operators on F(M) expressed in terms of conditions in the underlying metric space M.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-02-01
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/10251/219970
url https://riunet.upv.es/handle/10251/219970
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 PID2019-105011GB-I00 DINAMICA DE OPERADORES
Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-122126NB-C33 ANALISIS COMPLEJO Y GEOMETRIA EN ESPACIOS DE BANACH
Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2022-139449NB-I00 DINAMICA DE OPERADORES Y ECUACIONES DE EVOLUCION
Generalitat Valenciana https://doi.org/10.13039/501100003359 PROMETEO%2F2021%2F070 Análisis funcional, dinámica de operadores y aplicaciones
Generalitat Valenciana https://doi.org/10.13039/501100003359 CIACIF%2F2021%2F378 DIFERENCIABILIDAD EN ESPACIOS DE BANACH NO SEPARABLES: DESARROLLO E IMPLEMENTACION DE NUEVAS TECNICAS EN EL ESTUDIO DE LA GEOMETRIA DE LOS ESPACIOS NORMADOS
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
http://purl.org/coar/access_right/c_abf2
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
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
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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