Cyclicity of composition operators on the Fock space

2022/05/23 by Frédéric Bayart, Bayart, Frédéric, Sebastián Tapia‐García +1 · 2 citations
Mathematics · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2205.11066

openalex publication_date 2022/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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).

Cited by

• Dynamics for affine composition operators on weighted Bergman space of a half plane
• Commutants of composition operators on function spaces of several complex variables

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