English

A generalized Grobman-Hartman theorem

Dynamical Systems 2023-05-09 v1

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.

Cite

@article{arxiv.2001.04313,
  title  = {A generalized Grobman-Hartman theorem},
  author = {Nilson C. Bernardes and Ali Messaoudi},
  journal= {arXiv preprint arXiv:2001.04313},
  year   = {2023}
}

Comments

9 pages

R2 v1 2026-06-23T13:09:48.396Z