| 非游荡算子与超循环算子 |
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| 引用本文： | 徐民京,田立新,刘曾荣.非游荡算子与超循环算子[J].江苏大学学报(自然科学版),1993(4). |
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| 作者姓名： | 徐民京 田立新 刘曾荣 |
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| 作者单位： | 江苏工学院基础课教学研究部
(徐民京，田立新)，江苏工学院基础课教学研究部(刘曾荣) |
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| 摘 要： | 本文研究无穷维空间中一类具有混沌特性的算子:非游荡算子。主要结论是希尔伯特空间中移位算子及与它交换的算子,在常数意义下都是非游荡算子。并在非游荡集为紧集时,给出非游荡算子的超循环分解。
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| 关 键 词： | 无穷维线性空间 希尔伯特空间 移位算子/非游荡算子 超循环算子 |
Nonwandering Operators and Supercyclic Operators |
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| Xu Minjing Tian Lixin.Nonwandering Operators and Supercyclic Operators[J].Journal of Jiangsu University:Natural Science Edition,1993(4). |
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| Authors: | Xu Minjing Tian Lixin |
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| Institution: | Xu Minjing Tian Lixin |
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| Abstract: | Studied are the nonwandering operators of chaotic properties in infinite dimensional linear space. The main results are given as follows: the shift operators in Hilbert space and operators exchanging for them are nonwandering operators in the sense of a constant. When nonwandering set of the nonwarder-ing operator is compact, a result is given concerning the relationship between no nwandering operators and supercyclic operators. |
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| Keywords: | Infinite dimensional linear space Hibert space shift operator / nonwardering operator supercyclic operator |
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