传递性算子的积  

On products of transitive operators

作　　者：姚玉武[1] 

机构地区：[1]苏州大学数学科学学院,江苏苏州215006

出　　处：《苏州大学学报（自然科学版）》2007年第1期6-9,共4页Journal of Soochow University(Natural Science Edition)

摘　　要：W.Desch和W.Schappacher通过引进回复弱混合算子的定义讨论了超循环半群积的问题.本文给出在离散情形下回复弱混合算子的定义,并给出两个算子的积是弱混合的一个充分条件.此外,本文还证明了由Bayart和Grivaux最近所引进的频繁超循环算子实际上是比回复弱混合算子强的一类算子.W. Desch and W. Schappacher introduced the recurrently weak-mixing operator, and discussed the products of hypercyclic semigroups. In this paper, we give the definition of the recurrently weak-mixing operators in the discrete case, and obtain a sufficient condition under which the product of two operators is weak-mixing. In addition, we also show the frequently hypercyclic operators recently introduced by Bayart and Grivaux are in fact recurrently weak-mixing.

关 键 词：超循环标准 拓扑传递性 弱混合 回复弱混合 频繁超循环算子 

分 类 号：O189.11[理学—数学]