70 citations · 262 across the 32 of their papers we have counts for
42 papers
Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity
F. Bayart, S. Grivaux, E. Matheron +1
We introduce and study the notion of hereditary frequent hypercyclicity, which is a reinforcement of the well known concept of frequent hypercyclicity. This notion is useful for th…
Essential norms of composition operators and multipliers acting between different Hardy spaces
Frédéric Bayart
We compute the essential norm of inclusion operators, composition operators and multipliers acting from a closed subspace of some -space into a subspace of some -space, w…
Schatten class composition operators on the Hardy space of Dirichlet series and a comparison-type principle
Frédéric Bayart, Athanasios Kouroupis
We give necessary and sufficient conditions for a composition operator with Dirichlet series symbol to belong to the Schatten classes of the Hardy space of Di…
-hypercyclic operators that are not -hypercyclic for <
Frédéric Bayart
For every fixed (0, 1), we construct an operator on the separable Hilbert space which is -hypercyclic for all (, 1) and which is not -hypercyclic for a…
Disjoint frequent hypercyclicity of composition operators
Frédéric Bayart
We give a sufficient condition for two operators to be disjointly frequently hypercyclic. We apply this criterion to composition operators acting on or on the Hardy…
Cyclicity of composition operators on the Fock space
Frédéric Bayart, Sebastián Tapia-García
In this paper we provide a full characterization of cyclic composition operators defined on the d-dimensional Fock space in terms of their symbol. Also, w…