一类Markov算子的遍历性
Ergodicity for a Class of Markov Operators

利用遍历理论研究了完备可分距离空间上其对偶算子的算术平均具有等度连续性的Markov-Feller算子的遍历性质,得到此类算子的Yosida型遍历分解定理,并简洁证明了Markov-Feller算子具有唯一不变测度的一个结果.
Ergodicity of a class of Markov-Feller operators with equicontinuous average dual operators is studied by the ergodic theory.As an application,a Yosida type ergodic decomposition theorem for such operators is proved and a simple proof on the uniqueness of invariant measures for Markov-Feller operators is given