An epsilon-hypercyclicity criterion and its application on classical Banach spaces
Functional Analysis
2021-10-07 v2 Dynamical Systems
Abstract
We provide a criterion for -hypercyclicity. Also, we extend the ideas of Badea, Grivaux, M\"uller and Bayart to construct -hypercyclic operators which are not hypercyclic in a wider class of separable Banach spaces, including several classical Banach spaces. For instance, our result can be applied to separable infinite dimensional spaces and spaces.
Cite
@article{arxiv.2103.08075,
title = {An epsilon-hypercyclicity criterion and its application on classical Banach spaces},
author = {Sebastián Tapia-García},
journal= {arXiv preprint arXiv:2103.08075},
year = {2021}
}
Comments
15 pages