English

Frequently hypercyclic bilateral shifts

Functional Analysis 2017-07-14 v1

Abstract

It is not known if the inverse of a frequently hypercyclic bilateral weighted shift on c0(Z)c_0(\mathbb{Z}) is again frequently hypercyclic. We show that the corresponding problem for upper frequent hypercyclicity has a positive answer. We characterise, more generally, when bilateral weighted shifts on Banach sequence spaces are (upper) frequently hypercyclic.

Keywords

Cite

@article{arxiv.1707.03994,
  title  = {Frequently hypercyclic bilateral shifts},
  author = {Karl-G. Grosse-Erdmann},
  journal= {arXiv preprint arXiv:1707.03994},
  year   = {2017}
}
R2 v1 2026-06-22T20:45:36.043Z