Existence of disjoint frequently hypercyclic operators which fail to be disjoint weakly mixing
Functional Analysis
2021-06-03 v2
Abstract
In this short note, we answer a question of Martin and Sanders [Integr. Equ. Oper. Theory, 85 (2) (2016), 191-220] by showing the existence of disjoint frequently hypercyclic operators which fail to be disjoint weakly mixing and, therefore, fail to satisfy the Disjoint Hypercyclicity Criterion. We also show that given an operator such that is frequently hypercyclic, the set of operators such that are disjoint frequently hypercyclic but fail to satisfy the Disjoint Hypercyclicity Criterion is SOT dense in the algebra of bounded linear operators.
Keywords
Cite
@article{arxiv.2102.11961,
title = {Existence of disjoint frequently hypercyclic operators which fail to be disjoint weakly mixing},
author = {Özgür Martin and Yunied Puig},
journal= {arXiv preprint arXiv:2102.11961},
year = {2021}
}