算子的Supercyclic性  

Supercyclicity of Operators

作　　者：石洛宜[1] 武玉婧[2] 王立飞[1] 

机构地区：[1]吉林大学数学研究所,长春130012 [2]天津职业大学基础部,天津300402

出　　处：《吉林大学学报（理学版）》2008年第3期393-396,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:J0630104);高校博士点专项科研基金(批准号:20050183002)

摘　　要：依据判定一列算子是Hypercyclic的充要条件,得到一种判定算子是Supercyclic的标准,并将该标准应用到权序列均非零双侧加权移位算子上,得到了权序列均非零双侧加权移位算子满足该标准的充要条件.According to a Sufficient and necessary condition for a sequence of operators to be Hypercyclic, we obtained a criterion for an operator to be Supercyclic. Applying this criterion to the bilateral weighted shifts with non-zero we weights to satisfy ights, we gave a Sufficient and necessary condition for a bilateral weighted shift with non-zero this criterion.

关 键 词：Cyclic性 Supercyclic性 Hypercyclic性 

分 类 号：O177.1[理学—数学]