典型文献
A NOTE ON MEASURE-THEORETIC EQUICONTINUITY AND RIGIDITY
文献摘要:
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].
文献关键词:
中图分类号:
作者姓名:
Chiyi LUO;Yun ZHAO
作者机构:
School of Mathematical Sciences and Center for Dynamical Systems and Differential Equations,Soochow University,Suzhou 215006,China
文献出处:
引用格式:
[1]Chiyi LUO;Yun ZHAO-.A NOTE ON MEASURE-THEORETIC EQUICONTINUITY AND RIGIDITY)[J].数学物理学报(英文版),2022(02):769-773
A类:
NOTE,MEASURE,THEORETIC,EQUICONTINUITY,RIGIDITY,equicontinuous,subsequence
B类:
AND,Given,topological,dynamical,system,invariant,measure,let,denote,Borel,algebra,This,paper,proves,that,rigid,if,only,mean,some,function,L2,In,particular,this,gives,positive,answer,Question
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0.449629
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