C_0-半群的概率型逼近

Probabilistic Approximations for C_0-semi-groups

借助于算子值数学期望以及概率论方法,利用适当的随机变量的矩生成函数估计式,讨论了Banach空间上C0-半群的概率表示式及收敛速度的估计式.

By means of operator-valued mathematical expect and probabilistic methods, using estimations of moment-generating functions of some suitable random variables, the probabilistic representations and estimations of convergent rates for C0-semi-groups on Banach space are discussed.