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arXiv · 2205.11066

Cyclicity of composition operators on the Fock space

Frédéric Bayart·Sebastián Tapia-García
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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 $\mathcal F(\mathbb C^d)$.

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Frédéric Bayart, Sebastián Tapia-García. 2022-05-23. Cyclicity of composition operators on the Fock space. https://arxiv.org/abs/2205.11066

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