Cyclicity of composition operators on the Fock space

Abstract

In this paper we provide a full characterization of cyclic composition operators defined on the d-dimensional Fock space $\mathcal{F}({\mathbb{C}}^d)$ 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 $\mathcal{F}({\mathbb{C}}^d)$.

References in corpus (1)

• Convex-cyclic weighted composition operators and their adjoints