A generalized Grobman-Hartman theorem

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.

arXiv comment9 pages

References in corpus (2)

• Expansivity and Shadowing in Linear Dynamics
• Generalized hyperbolicity for linear operators

Cited by in corpus (2)

• A generalized Grobman-Hartman theorem for nonautonomous dynamics
• Linearization and Hölder continuity of generalized ODEs with application to measure differential equations