仓定帮, 陈藏, 宋晓秋. 双连续C半群的概率逼近问题[J]. 云南大学学报(自然科学版), 2012, 34(4): 373-379.
引用本文: 仓定帮, 陈藏, 宋晓秋. 双连续C半群的概率逼近问题[J]. 云南大学学报(自然科学版), 2012, 34(4): 373-379.
CANG Ding-bang, CHEN Cang, SONG Xiao-qiu. Probabilistic approximation for bi-continuous C-semigroups[J]. Journal of Yunnan University: Natural Sciences Edition, 2012, 34(4): 373-379.
Citation: CANG Ding-bang, CHEN Cang, SONG Xiao-qiu. Probabilistic approximation for bi-continuous C-semigroups[J]. Journal of Yunnan University: Natural Sciences Edition, 2012, 34(4): 373-379.

双连续C半群的概率逼近问题

Probabilistic approximation for bi-continuous C-semigroups

  • 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.

     

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