On the Hypercyclicity Criterion for operators of Read's type
Functional Analysis
2019-08-20 v1 Dynamical Systems
Abstract
Let be a so-called operator of Read's type on a (real or complex) separable Banach space, having no non-trivial invariant subset. We prove in this note that is then hypercyclic, i.e. that satisfies the Hypercyclicity Criterion.
Cite
@article{arxiv.1908.06712,
title = {On the Hypercyclicity Criterion for operators of Read's type},
author = {Sophie Grivaux},
journal= {arXiv preprint arXiv:1908.06712},
year = {2019}
}
Comments
8 pages; to appear in the special volume "The Mathematical Legacy of Victor Lomonosov" (de Gruyter)