论文标题
Trotter近似定理中的收敛速率及其应用
Rate of convergence in Trotter's approximation theorem and its applications
论文作者
论文摘要
著名的猪to属近似定理提供了足够的条件，可以根据相应的无限发电机序列的一系列操作员半群的收敛。在某些限制下，在Trotter定理中的收敛速率有一些结果。在本文中，给出了完全普遍性的Trotter定理中的新收敛速率。此外，我们看到这种收敛速率可以很好地获得概率理论中一定限制定理的定量估计值。
The celebrated Trotter approximation theorem provides a sufficient condition for the convergence of a sequence of operator semigroups in terms of the corresponding sequence of infinitesimal generators. There exist a few results on the rate of convergence in Trotter's theorem under some constraints. In the present paper, a new rate of convergence in Trotter's theorem in full generality is given. Moreover, we see that this rate of convergence works well to obtain quantitative estimates for some limit theorems in probability theory.
