English

Cyclicity of composition operators on the Fock space

Functional Analysis 2022-05-24 v1

Abstract

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

Keywords

Cite

@article{arxiv.2205.11066,
  title  = {Cyclicity of composition operators on the Fock space},
  author = {Frédéric Bayart and Sebastián Tapia-García},
  journal= {arXiv preprint arXiv:2205.11066},
  year   = {2022}
}