English

Generalized hyperbolicity for linear operators

Dynamical Systems 2019-07-29 v2 Functional Analysis

Abstract

It is introduced an open class of linear operators on Banach and Hilbert spaces such that their non-wandering set is an infinite dimensional topologically mixing subspace. In certain cases, the non-wandering set coincides with the whole space.

Keywords

Cite

@article{arxiv.1907.01146,
  title  = {Generalized hyperbolicity for linear operators},
  author = {P. Cirilo and B. Gollobit and E. Pujals},
  journal= {arXiv preprint arXiv:1907.01146},
  year   = {2019}
}