算子族 meaning in English
family of operators
Examples
- In this thesis we mainly study degenerate - times integrated operater families and its applications to abstract cauchy problems , and we study the mean ergodicty theorems and the convergence rates of ergodic limits and approximation for k - regularized resolvent families
本文我们主要研究退化( r ) -次积分预解算子族及它对抽象cauchy问题的应用，并且研究k -正则预解算子族的平均遍历定理和遍历极限的收敛率。 - 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。 - In the final part we concern with the convergence rates of ergodic limits and approximation for k - regularized resolvent families for a linear volterra integral equation . we give the ergodicty for k - regularized resolvent operator families at 0 and we also prove their basic properties by means of k - functional and relative completion . finally , we obtain some results of the convergence rates of ergodic limits and approximation for k - regularized resolvent families
第四章我们主要研究了k -正则预解算子族的遍历极限的收敛率和逼近。借助于k -泛函和相对完备化，给出了k -正则预解算子族在0点的遍历性，证明了一些基本性质。我们也证明了k -正则预解算子族的遍历极限的收敛率和逼近的一些结果。