Hypercyclic与Supercyclic的Toeplitz算子  

Hypercyclic and Supercyclic Toeplitz Operator

作　　者：王春鹏[1] 孙善利[2] 

机构地区：[1]吉林大学数学学院数学系 [2]北京航空航天大学应用数学系,北京100083

出　　处：《吉林大学学报（理学版）》2005年第2期137-141,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10271012)

摘　　要：首先运用函数论的方法,阐述了在Hardy空间以及Bergman空间上,当符号φ满足某种条件时,余解析Toeplitz算子Tφ为Hypercyclic或Supercyclic算子.其次运用谱的知识及指标理论,阐述了当符号φ满足某种条件时,Toeplitz算子Tφ位于Hc(H)或Sc(H)中.It is proved that there are some Hypercyclic and Supercyclic operators in the class of co-analytic Toeplitz operators in Hardy space and Bergman space. Applying spectrum and index theorys, we also prove that Toeplitz operator T_φ belongs to H_c(H) or S_c(H) when the symbol φ satisfies certain conditions.

关 键 词：解析TOEPLITZ算子 余解析Toeplitz算子 Hypercyclic算子 Supercyclic算子 

分 类 号：O177.1[理学—数学]