摘要
本文给出了保测变换是弱混合的几个充要条件。
Seueval equivalent conditions of weak-mixing are given in this paper.Ourmain result is the followingLet(X,(?),m)be a probability space with a countable basis and T∶(X,(?),m)→(X,(?),m)be a measure-preserving transformation.Then T is weak-mixing iff there exists a zero density subset J of N^+ such that for everyincreasing sequence k_1<k_2<… of natural number whenever it has a subsequence{k_(n_p)} with J(k_(n_p))/(n_p→0)(?)‖1/(n_p)sum from j=1 to (?)∪_T^Kjf-∫fdm‖_2=0holds for every f∈L^2
出处
《数学杂志》
CSCD
北大核心
1990年第2期179-184,共6页
Journal of Mathematics
