关于随机线性算子的C_0-半群(英文)

On C_0-semigroups of Random Linear Operators

首先对几乎处处有界的随机线性算子的C_0-半群{B(t):t≥0}利用L^0-范数的转化技巧给出一个特殊的性质.然后,基于这一性质,对与{B(t):t≥0}的随机无穷小生成元相关的一些重要的性质进行了研究,并改进了近期文献中一些已知的结果.

In this paper, we first give a property peculia to an almost surely bounded C0- semigroup of random linear operators （B（t） ： t 〉≥ 0} by using an L^o-norm transformation technique. Then, based on this, some important properties closely related to the random infinitesimal generator of {B（t） ： t ≥ 0} are studied, which improves some known results.