2000 character limit reached
Cyclicity of composition operators on the Fock space (2205.11066v1)
Published 23 May 2022 in math.FA
Abstract: In this paper we provide a full characterization of cyclic composition operators defined on the d-dimensional Fock space $\mathcal F(\mathbb Cd)$ in terms of their symbol. Also, we study the supercyclicity and convex-cyclicity of this type of operators. We end this work by computing the approximation numbers of compact composition operators defined on $\mathcal F(\mathbb Cd)$.