摘要
Given a topological dynamical system(X,T)and a T-invariant measureμ,let B denote the Borel σ-algebra on X.This paper proves that(X,B,μ,T)is rigid if and only if(X,T)isμ-A-equicontinuous in the mean for some subsequence A of N,and a function f∈L^(2)(μ)is rigid if and only if f is μ-A-equicontinuous in the mean for some subsequence A of N.In particular,this gives a positive answer to Question 4.11 in[1].
作者
罗炽逸
赵云
Chiyi LUO;Yun ZHAO(School of Mathematical Sciences and Center for Dynamical Systems and Differential Equations,Soochow University,Suzhou 215006,China)
基金
Supported by the National Natural Science Founda-tion of China(11790274 and 11871361)
partially supported by Qinglan project of Jiangsu Province。
