$\epsilon$-hypercyclic operators that are not $\delta$-hypercyclic for $\delta$ < $\epsilon$
Functional Analysis
2023-03-30 v1
Abstract
For every fixed (0, 1), we construct an operator on the separable Hilbert space which is -hypercyclic for all (, 1) and which is not -hypercyclic for all (0, ).
Cite
@article{arxiv.2303.16677,
title = {$\epsilon$-hypercyclic operators that are not $\delta$-hypercyclic for $\delta$ < $\epsilon$},
author = {Frédéric Bayart},
journal= {arXiv preprint arXiv:2303.16677},
year = {2023}
}