双连续半群的概率饱和定理  

Pointwise Saturation Theorem for Probabilistic Representations of Bi-Continuous Semigroups

作　　者：陈藏[1] 王昕[2] 刘海生[2] 葛世刚[2] 仓定帮[2] 

机构地区：[1]华北科技学院教务处,北京101601 [2]华北科技学院基础部,北京101601

出　　处：《数学的实践与认识》2015年第7期275-280,共6页Mathematics in Practice and Theory

基　　金：中央高校基本科研业务费资助(3142012022;3142013039;3142014039;3142014127);华北科技学院重点学科资助项目(HKXJZD201402)

摘　　要：利用Riemann-stieltjes随机过程、矩生成函数及算子值数学期望讨论了双连续C_0半群的概率逼近问题给出了指数有界的双连续C_0半群的概率饱和定理.By means of Riemann-Stieltjes stochastic processmoment-generating functions and perator Valued mathematical expectation the problem of probabilistic approximation for bi-continuous C0 semigroups was studied and the saturation theorem of probabilistic representations of exponential bounded bi-continuous C0 semigroups are obtained.

关 键 词：双连续C0半群 概率逼近 饱和定理 

分 类 号：O152.7[理学—数学]