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Cyclicity of composition operators on the Fock space
Published 23 May 2022 in math.FA | (2205.11066v1)
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 $\mathcal F(\mathbb Cd)$.
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