| Hypercyclic与Supercyclic的Toeplitz算子 |
| |
| 引用本文： | 王春鹏,孙善利.Hypercyclic与Supercyclic的Toeplitz算子[J].吉林大学学报(理学版),2005,43(2):137-141. |
| |
| 作者姓名： | 王春鹏 孙善利 |
| |
| 作者单位： | 吉林大学,数学学院数学系,长春,130012;东北师范大学,数学与统计学院基础数学系,长春,130024;北京航空航天大学,应用数学系,北京,100083 |
| |
| 基金项目： | 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Bergm
an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.
|
| 关 键 词： | 解析Toeplitz算子 余解析Toeplitz算子 Hypercyclic算子 Supercyclic算子 |
| 文章编号： | 1671-5489(2005)02-0137-05 |
| 收稿时间： | 2004-08-20 |
| 修稿时间： | 2004年8月20日 |
Hypercyclic and Supercyclic Toeplitz Operator |
| |
| WANG Chun-peng,SUN Shan-li.Hypercyclic and Supercyclic Toeplitz Operator[J].Journal of Jilin University: Sci Ed,2005,43(2):137-141. |
| |
| Authors: | WANG Chun-peng SUN Shan-li |
| |
| Affiliation: | 1. Department of Mathematics, College of Mathematics, Jilin University, Changchun 130012, China;2. Department of Mathematics, School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China;3. Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China |
| |
| Abstract: | 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 Tφ belongs to Hc(H) or
Sc(H) when the symbol φ satisfies certain conditions. |
| |
| Keywords: | analytic Toeplitz operator co-analytic Toeplitz operator Hypercyclic operator Supercyclic operator |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《吉林大学学报(理学版)》下载全文 |
