双连续C半群的概率逼近问题
Probabilistic approximation for bi-continuous C-semigroups
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摘要: 借助于Riemann-Stieltjes积分、随机过程、矩生成函数及算子值数学期望,对基于局部凸拓扑的Banach空间上的双连续C半群概率逼近问题进行研究,给出了双连续C半群概率逼近指数公式及生成定理.Abstract: By means of Riemann-Stieltjes stochastic process,moment-generating functions and operator-Valued mathematical expect,the problem of probabilistic approximation for bi-continuous-semigroups was studied and then the general probabilistic approximation of exponential formulas,the generating theorems were given.