A Characterization for a Complete Random Normed Module to Be Mean Ergodic  

作　　者：Xia ZHANG Ming LIU 

机构地区：[1]Department of Mathematics,School of Science,Tianjin Polytechnic University,Tianjin 300387,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2017年第7期899-910,共12页数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.11301380,11401399 and 11301568);the Higher School Science and Technology Development Fund Project in Tianjin(Grant No.20131003)

摘　　要：In this paper, we first study the mean ergodicity of random linear operators using some techniques of measure theory and L;-convex analysis. Then, based on this, we give a characterization for a complete random normed module to be mean ergodic.In this paper, we first study the mean ergodicity of random linear operators using some techniques of measure theory and L^0-convex analysis. Then, based on this, we give a characterization for a complete random normed module to be mean ergodic.

关 键 词：Random normed module mean ergodic random linear operator the local property 

分 类 号：O177[理学—数学]