Disjoint frequent hypercyclicity of composition operators

DOI10.1016/J.AIM.2023.108945arXiv2211.13048MaRDI QIDQ6418279

Frédéric Bayart

Publication date: 23 November 2022

Abstract: We give a sufficient condition for two operators to be disjointly frequently hypercyclic. We apply this criterion to composition operators acting on $H(mathbbD)$ or on the Hardy space $H^2(mathbbD)$. 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.

Mathematics Subject Classification ID

Cyclic vectors, hypercyclic and chaotic operators (47A16)

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