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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A GENERALIZED GROBMAN-HARTMAN THEOREM

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Author(s):
Bernardes Jr, Nilson C. ; Messaoudi, Ali [1]
Total Authors: 2
Affiliation:
[1] Univ Estadual Paulista, Dept Matemat, Rua Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Proceedings of the American Mathematical Society; v. 148, n. 10, p. 4351-4360, OCT 2020.
Web of Science Citations: 0
Abstract

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. (AU)

FAPESP's process: 17/22588-0 - Dynamics, operators and ergodicity
Grantee:Ali Messaoudi
Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
FAPESP's process: 19/10269-3 - Ergodic and qualitative theories of dynamical systems II
Grantee:Claudio Aguinaldo Buzzi
Support Opportunities: Research Projects - Thematic Grants