| 有界线性算子的回复性 |
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| 引用本文： | 周双,郭述峰.有界线性算子的回复性[J].松辽学刊,2014(1):32-35. |
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| 作者姓名： | 周双 郭述峰 |
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| 作者单位： | [1]中国科学院重庆绿色智能技术研究院自动推理与认知重庆市重点实验室,重庆400714 [2]广西师范大学数学科学学院,广西桂林541004 |
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| 基金项目： | 国家自然科学基金项目（11161005） |
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| 摘 要： | 动力系统的核心问题是轨道的渐近性质或拓扑结构.而那些具有回复性的点的轨道又是大家研究的一个焦点.对于映射与回复性的研究更是一个有意义的问题.基于前人一些成果和理论,本文研究特殊的线性算子—有界线性算子的回复性,并且得出了一些结果.
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| 关 键 词： | 有界线性算子 周期点集 极限点集 链回归点集 |
Recurrent Properties of the Bounded Linear Operator |
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| ZHOU Shuang,GUO Shu-feng.Recurrent Properties of the Bounded Linear Operator[J].Songliao Journal (Natural Science Edition),2014(1):32-35. |
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| Authors: | ZHOU Shuang GUO Shu-feng |
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| Institution: | 1. Automated Reasoning and Cognition Key Laboratory of Chongqing, Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Sciences, Chongqing 400714, China ;2. College of Mathematical Science, Guangxi Normal University, Guilin 541004, China) |
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| Abstract: | There is a main problem that the asymptotic nature or topology of the track, especially the recurrent points of the orbit, which will be studied in dynamical systems. The recurrent properties of mapping is also a significant problem by studying. Basing on the previous results and theoretical, we study special linear operator-- recurrent properties of the bounded linear operators and obtained some results. |
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| Keywords: | bounded linear operator Set of periodic points Set of limit points Recurrent chain set |
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