Two problems on weighted shifts in linear dynamics
Functional Analysis
2021-01-11 v1
Abstract
We show that an invertible bilateral weighted shift is strongly structurally stable if and only if it has the shadowing property. We also exhibit a K{\"o}the sequence space supporting a frequently hypercyclic weighted shift, but no chaotic weighted shifts.
Keywords
Cite
@article{arxiv.2101.02989,
title = {Two problems on weighted shifts in linear dynamics},
author = {Frédéric Bayart},
journal= {arXiv preprint arXiv:2101.02989},
year = {2021}
}