A GENERALIZED GROBMAN-HARTMAN THEOREM
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Undergraduate course
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Amer Mathematical Soc
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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.
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Keywords
Linear operators, structural stability, shadowing, hyperbolicity, linearization
Language
English
Citation
Proceedings Of The American Mathematical Society. Providence: Amer Mathematical Soc, v. 148, n. 10, p. 4351-4360, 2020.
