A GENERALIZED GROBMAN-HARTMAN THEOREM
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.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | Brasil |
| Institución: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/197227 |
| Acceso en línea: | http://dx.doi.org/10.1090/proc/15077 http://hdl.handle.net/11449/197227 |
| Access Level: | acceso abierto |
| Palabra clave: | Linear operators structural stability shadowing hyperbolicity linearization |
| Sumario: | 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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