mean ergodic theorem meaning in Chinese

平均遍历定理
平均脯历经定理

The most plausible operatorial generalization of result of preceding paragraph is known as the " mean ergodic theorem for unitary operators .
前段结果可以推广到算子去，其中最近情近理的推广是“单算子的平均遍历定理” 。
In three part we study the ergodicty for k - regularized resolvent operator families including the mean ergodicty , abel - ergodicity and cesaro - ergodicity . we prove the mean ergodic theorems of k - regularized resolvent operator families . and we give out the definition of abel - ergodicity and cesaro - ergodicity for k - regularized resolvent operator families . moreover , we give the relationship between the two kinds of ergodicity and their basic properties
我们证明了k -正则预解算子族的平均遍历定理。给出了k -正则预解算子族的abel遍历性和ces ro遍历性的定义，并证明了它们的相互关系和一些基本性质。