论文标题
组成操作员在fock空间上的循环性
Cyclicity of composition operators on the Fock space
论文作者
论文摘要
在本文中，我们提供了在d维的fock空间$ \ mathcal f（\ mathbb c^d）$中定义的环状构图运算符的完整表征。此外，我们研究了这种类型的运营商的超循环性和凸环。我们通过计算在$ \ Mathcal F（\ Mathbb C^d）$上定义的紧凑型构图运算符的近似编号来结束这项工作。
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 $\mathcal F(\mathbb C^d)$.
