Banach序列空间上非游荡算子的存在性  

Existence of nonwandering operator in infinite demensional separable Banach sequence space

作　　者：周江波[1] 卢殿臣[1] 田立新[1] 

机构地区：[1]江苏大学非线性研究中心,江苏镇江212013

出　　处：《江苏大学学报（自然科学版）》2004年第2期141-144,共4页Journal of Jiangsu University：Natural Science Edition

基　　金：国家自然科学基金资助项目(10071003);江苏大学校青年基金资助项目(124390001)

摘　　要：讨论了无穷维可分Banach序列空间上的非游荡算子,这是一类具有混沌特征的线性算子 运用泛函分析的方法证明任一无穷维可分Banach序列空间上非游荡算子的存在性。Chaotic phenomena are not only restricted to nonlinear mappings or operators In infinite dimensional space, certain linear mappings or operators also behave chaotically The nonwandering operator in infinite dimensional separable Banach sequence space is one of linear chaotic characters The study of nonwandering operator is of great help to the study of the chaotic property of linear operator By applying the method of function analysis, it is proved that each infinite dimensional separable Banach sequence space supports a nonwandering operator. An example of concrete nonwandering operator of physical background is also presented

关 键 词：非游荡算子 BANACH序列空间 超循环 线性混沌算子 加权后移位算子 

分 类 号：O37.92[理学—流体力学] O193[理学—力学]