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Given a topological dynamical system(X,T) and a T-invariant measure μ,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) is μ-A-equicontinuous in the mean for some subsequence A of N,and a function f ∈L2(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]. 相似文献
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