Universality of sequences of operators related to Taylor series

In this note, the universality of a sequence of operators associated to the partial sums of the Taylor series of a holomorphic function is investigated. The emphasis is put on the fact that the Taylor series are evaluated at a prescribed point and the variable is the center of the expansion. The dyn...

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Autores: Bernal González, Luis, Cabana Méndez, Hernán Javier, Muñoz Fernández, Gustavo Adolfo, Seoane Sepúlveda, Juan Benigno
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2019
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/87512
Acceso en línea:https://hdl.handle.net/11441/87512
https://doi.org/10.1016/j.jmaa.2019.01.056
Access Level:acceso abierto
Palabra clave:Holomorphic function
Universal Taylor series
Hypercyclic sequence of differential operators
Lineability
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spelling Universality of sequences of operators related to Taylor seriesBernal González, LuisCabana Méndez, Hernán JavierMuñoz Fernández, Gustavo AdolfoSeoane Sepúlveda, Juan BenignoHolomorphic functionUniversal Taylor seriesHypercyclic sequence of differential operatorsLineabilityIn this note, the universality of a sequence of operators associated to the partial sums of the Taylor series of a holomorphic function is investigated. The emphasis is put on the fact that the Taylor series are evaluated at a prescribed point and the variable is the center of the expansion. The dynamics of the sequence of operators linked to the partial sums of a power series that is not generated by an entire function is also studied.Plan Andaluz de Investigación (Junta de Andalucía)Ministerio de Economía y Competitividad (MINECO). EspañaElsevierAnálisis MatemáticoFQM127: Análisis Funcional no Lineal2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/87512https://doi.org/10.1016/j.jmaa.2019.01.056reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Mathematical Analysis and Applications, 474 (1), 480-491.FQM-127P08-FQM-03543MTM2015-65242-C2-1-PMTM2015-65825-Phttps://reader.elsevier.com/reader/sd/pii/S0022247X19300885?token=1BEF2D6B550A01C289EC9079C4C6DCA2C8BACF12718FC69027ECFF2F64CACA8580A0D9DAFC2CCAB6EE757E6EF61CB5DAinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/875122026-06-17T12:51:07Z
dc.title.none.fl_str_mv Universality of sequences of operators related to Taylor series
title Universality of sequences of operators related to Taylor series
spellingShingle Universality of sequences of operators related to Taylor series
Bernal González, Luis
Holomorphic function
Universal Taylor series
Hypercyclic sequence of differential operators
Lineability
title_short Universality of sequences of operators related to Taylor series
title_full Universality of sequences of operators related to Taylor series
title_fullStr Universality of sequences of operators related to Taylor series
title_full_unstemmed Universality of sequences of operators related to Taylor series
title_sort Universality of sequences of operators related to Taylor series
dc.creator.none.fl_str_mv Bernal González, Luis
Cabana Méndez, Hernán Javier
Muñoz Fernández, Gustavo Adolfo
Seoane Sepúlveda, Juan Benigno
author Bernal González, Luis
author_facet Bernal González, Luis
Cabana Méndez, Hernán Javier
Muñoz Fernández, Gustavo Adolfo
Seoane Sepúlveda, Juan Benigno
author_role author
author2 Cabana Méndez, Hernán Javier
Muñoz Fernández, Gustavo Adolfo
Seoane Sepúlveda, Juan Benigno
author2_role author
author
author
dc.contributor.none.fl_str_mv Análisis Matemático
FQM127: Análisis Funcional no Lineal
dc.subject.none.fl_str_mv Holomorphic function
Universal Taylor series
Hypercyclic sequence of differential operators
Lineability
topic Holomorphic function
Universal Taylor series
Hypercyclic sequence of differential operators
Lineability
description In this note, the universality of a sequence of operators associated to the partial sums of the Taylor series of a holomorphic function is investigated. The emphasis is put on the fact that the Taylor series are evaluated at a prescribed point and the variable is the center of the expansion. The dynamics of the sequence of operators linked to the partial sums of a power series that is not generated by an entire function is also studied.
publishDate 2019
dc.date.none.fl_str_mv 2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/87512
https://doi.org/10.1016/j.jmaa.2019.01.056
url https://hdl.handle.net/11441/87512
https://doi.org/10.1016/j.jmaa.2019.01.056
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Mathematical Analysis and Applications, 474 (1), 480-491.
FQM-127
P08-FQM-03543
MTM2015-65242-C2-1-P
MTM2015-65825-P
https://reader.elsevier.com/reader/sd/pii/S0022247X19300885?token=1BEF2D6B550A01C289EC9079C4C6DCA2C8BACF12718FC69027ECFF2F64CACA8580A0D9DAFC2CCAB6EE757E6EF61CB5DA
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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