A GENERALIZED GROBMAN-HARTMAN THEOREM

Bibliographic Details
Main Author: Bernardes Jr, Nilson C.
Publication Date: 2020
Other Authors: Messaoudi, Ali [UNESP]
Format: Article
Language: eng
Source: Repositório Institucional da UNESP
Download full: http://dx.doi.org/10.1090/proc/15077
http://hdl.handle.net/11449/197227
Summary: We prove that any generalized hyperbolic operator on any Banach space is structurally stable. As a consequence, we obtain a generalization of the classical Grobman-Hartman theorem.
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spelling A GENERALIZED GROBMAN-HARTMAN THEOREMLinear operatorsstructural stabilityshadowinghyperbolicitylinearizationWe prove that any generalized hyperbolic operator on any Banach space is structurally stable. As a consequence, we obtain a generalization of the classical Grobman-Hartman theorem.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Univ Fed Rio de Janeiro, Inst Matemat, Dept Matemat Aplicada, Caixa Postal 68530, BR-21945970 Rio De Janeiro, RJ, BrazilUniv Estadual Paulista, Dept Matemat, Rua Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilUniv Estadual Paulista, Dept Matemat, Rua Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilCNPq: 304207/2018-7FAPESP: 2017/22588-0CNPq: 311018/2018-1FAPESP: 2019/10269-3Amer Mathematical SocUniversidade Federal do Rio de Janeiro (UFRJ)Universidade Estadual Paulista (Unesp)Bernardes Jr, Nilson C.Messaoudi, Ali [UNESP]2020-12-10T20:10:11Z2020-12-10T20:10:11Z2020-10-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article4351-4360http://dx.doi.org/10.1090/proc/15077Proceedings Of The American Mathematical Society. Providence: Amer Mathematical Soc, v. 148, n. 10, p. 4351-4360, 2020.0002-9939http://hdl.handle.net/11449/19722710.1090/proc/15077WOS:000562957700020Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings Of The American Mathematical Societyinfo:eu-repo/semantics/openAccess2024-11-01T14:27:00Zoai:repositorio.unesp.br:11449/197227Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462024-11-01T14:27Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv A GENERALIZED GROBMAN-HARTMAN THEOREM
title A GENERALIZED GROBMAN-HARTMAN THEOREM
spellingShingle A GENERALIZED GROBMAN-HARTMAN THEOREM
Bernardes Jr, Nilson C.
Linear operators
structural stability
shadowing
hyperbolicity
linearization
title_short A GENERALIZED GROBMAN-HARTMAN THEOREM
title_full A GENERALIZED GROBMAN-HARTMAN THEOREM
title_fullStr A GENERALIZED GROBMAN-HARTMAN THEOREM
title_full_unstemmed A GENERALIZED GROBMAN-HARTMAN THEOREM
title_sort A GENERALIZED GROBMAN-HARTMAN THEOREM
author Bernardes Jr, Nilson C.
author_facet Bernardes Jr, Nilson C.
Messaoudi, Ali [UNESP]
author_role author
author2 Messaoudi, Ali [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Federal do Rio de Janeiro (UFRJ)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Bernardes Jr, Nilson C.
Messaoudi, Ali [UNESP]
dc.subject.por.fl_str_mv Linear operators
structural stability
shadowing
hyperbolicity
linearization
topic Linear operators
structural stability
shadowing
hyperbolicity
linearization
description We prove that any generalized hyperbolic operator on any Banach space is structurally stable. As a consequence, we obtain a generalization of the classical Grobman-Hartman theorem.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-10T20:10:11Z
2020-12-10T20:10:11Z
2020-10-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1090/proc/15077
Proceedings Of The American Mathematical Society. Providence: Amer Mathematical Soc, v. 148, n. 10, p. 4351-4360, 2020.
0002-9939
http://hdl.handle.net/11449/197227
10.1090/proc/15077
WOS:000562957700020
url http://dx.doi.org/10.1090/proc/15077
http://hdl.handle.net/11449/197227
identifier_str_mv Proceedings Of The American Mathematical Society. Providence: Amer Mathematical Soc, v. 148, n. 10, p. 4351-4360, 2020.
0002-9939
10.1090/proc/15077
WOS:000562957700020
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Proceedings Of The American Mathematical Society
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 4351-4360
dc.publisher.none.fl_str_mv Amer Mathematical Soc
publisher.none.fl_str_mv Amer Mathematical Soc
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv repositoriounesp@unesp.br
_version_ 1834483194538229760

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