Dynamics of multivalued linear operators

[EN] We introduce several notions of linear dynamics for multivalued linear operators (MLO¿s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney chaos. We also consider the case of disjointness, in which any of these propert...

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Autores: Chen, Chung-Chuan, Kostic, Marko, Murillo Arcila, Marina, Conejero, J. Alberto|||0000-0003-3681-7533
Tipo de recurso: artículo
Fecha de publicación:2017
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:10251/107406
Acceso en línea:https://riunet.upv.es/handle/10251/107406
Access Level:acceso abierto
Palabra clave:Hypercyclicity
Topological transitivity
Topologically mixing property
Devaney chaos
Multivalued linear operators
MATEMATICA APLICADA
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spelling Dynamics of multivalued linear operatorsChen, Chung-ChuanKostic, MarkoMurillo Arcila, MarinaConejero, J. Alberto|||0000-0003-3681-7533HypercyclicityTopological transitivityTopologically mixing propertyDevaney chaosMultivalued linear operatorsMATEMATICA APLICADA[EN] We introduce several notions of linear dynamics for multivalued linear operators (MLO¿s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney chaos. We also consider the case of disjointness, in which any of these properties are simultaneously satisfied by several operators. We revisit some sufficient well-known computable criteria for determining those properties. The analysis of the dynamics of extensions of linear operators to MLO¿s is also considered.The second and fourth authors have been supported by MINECO and FEDER, grant MTM2016-75963-P.De Gruyter OpenDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería InformáticaMinisterio de Economía y CompetitividadRepositorio Institucional de la Universitat Politècnica de València Riunet20172017-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/107406reponame: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 MTM2016-75963-P DINAMICA DE OPERADORESopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1074062026-06-13T07:49:27Z
dc.title.none.fl_str_mv Dynamics of multivalued linear operators
title Dynamics of multivalued linear operators
spellingShingle Dynamics of multivalued linear operators
Chen, Chung-Chuan
Hypercyclicity
Topological transitivity
Topologically mixing property
Devaney chaos
Multivalued linear operators
MATEMATICA APLICADA
title_short Dynamics of multivalued linear operators
title_full Dynamics of multivalued linear operators
title_fullStr Dynamics of multivalued linear operators
title_full_unstemmed Dynamics of multivalued linear operators
title_sort Dynamics of multivalued linear operators
dc.creator.none.fl_str_mv Chen, Chung-Chuan
Kostic, Marko
Murillo Arcila, Marina
Conejero, J. Alberto|||0000-0003-3681-7533
author Chen, Chung-Chuan
author_facet Chen, Chung-Chuan
Kostic, Marko
Murillo Arcila, Marina
Conejero, J. Alberto|||0000-0003-3681-7533
author_role author
author2 Kostic, Marko
Murillo Arcila, Marina
Conejero, J. Alberto|||0000-0003-3681-7533
author2_role author
author
author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Instituto Universitario de Matemática Pura y Aplicada
Escuela Técnica Superior de Ingeniería Informática
Ministerio de Economía y Competitividad
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Hypercyclicity
Topological transitivity
Topologically mixing property
Devaney chaos
Multivalued linear operators
MATEMATICA APLICADA
topic Hypercyclicity
Topological transitivity
Topologically mixing property
Devaney chaos
Multivalued linear operators
MATEMATICA APLICADA
description [EN] We introduce several notions of linear dynamics for multivalued linear operators (MLO¿s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney chaos. We also consider the case of disjointness, in which any of these properties are simultaneously satisfied by several operators. We revisit some sufficient well-known computable criteria for determining those properties. The analysis of the dynamics of extensions of linear operators to MLO¿s is also considered.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01
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/10251/107406
url https://riunet.upv.es/handle/10251/107406
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 MTM2016-75963-P DINAMICA DE OPERADORES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/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 - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv De Gruyter Open
publisher.none.fl_str_mv De Gruyter Open
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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