Bloch空间和Besov空间上有界复合算子集合的循环性

Hypercylic subsets of bounded composition operators on the Bloch space and the Besov spaces

本文从一般的研究无穷维可分Banach空间X上的有界线性算子的循环性得到启发,考虑作用在X上的有界复合算子构成的集合的循环性,给出了一些单位圆盘上的Bloch空间和Besov空间上的非超循环的有界复合算子构成的集合.

This paper is inspired by the result of the hypercyclicity of linear continuous operators on a separable infinite dimensional Banach space X. We consider the hypercyclicity of subsets of bounded composition operators. We give non hypercyclic subsets of bounded composition operators on the Bloch space and the Besov spaces on the unit disk.