A GENERALIZED GROBMAN-HARTMAN THEOREM
Autor(a) principal: | |
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Data de Publicação: | 2020 |
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Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1090/proc/15077 http://hdl.handle.net/11449/197227 |
Resumo: | 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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Repositório Institucional da UNESP |
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2946 |
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/openAccess2021-10-23T12:24:15Zoai:repositorio.unesp.br:11449/197227Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:03:44.502593Repositório 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 |
|
_version_ |
1808128603806760960 |