Disjoint frequent hypercyclicity of composition operators

2022/11/23 by Bayart, Frédéric
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2211.13048

Abstract

We give a sufficient condition for two operators to be disjointly frequently hypercyclic. We apply this criterion to composition operators acting on H(\mathbb D) or on the Hardy space H²(\mathbb D). We simplify a result on disjoint frequent hypercyclicity of pseudo shifts of a recent paper of Martin et al. and we exhibit two disjointly frequently hypercyclic weighted shifts.

Related

• Disjoint frequently hypercyclic pseudo-shifts
• Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity
• Frequently hypercyclic bilateral shifts
• Hypercyclic and mixing composition operators on H^p
• Common upper frequent hypercyclicity