关于回复弱混合算子  

ON RECURRENTLY WEAK MIXING OPERATORS

作　　者：姚玉武[1] 周友成[2] 

机构地区：[1]合肥学院数学与物理系,安徽合肥230601 [2]苏州大学数学科学学院,江苏苏州215006

出　　处：《数学杂志》2008年第5期585-590,共6页Journal of Mathematics

基　　金：安徽省教育厅基金(KJ2008B249);合肥学院人才引进基金(RC039)

摘　　要：本文研究了回复弱混合算子的一些性质.利用这些性质,得到了两个算子的积仍然是弱混合算子的一个充要条件.还获得了Banach空间上的算子与它在Banach空间的超空间上所诱导的算子之间回复弱混合性的关系.In this paper we study some properties of recurrently weak-mixing operators. Using these properties, we obtain a necessary and sufficient condition for the product of two operators to be weak mixing. In addition, we also achieve the connections between the recurrently weak-mixing operators on a Banach space and the induced operators by the above recurrently weak-mixing operator on the hyperspace.

关 键 词：拓扑传递性 弱混合 回复弱混合 BANACH空间 

分 类 号：O189.11[理学—数学]