概率算子测度弱收敛的一个充要条件

A Sufficient and Necessary Condition for the Weak Convergence of Probability Operator Measure

该文在已有的结果和方法的基础之上给出了概率算子测度弱收敛的一个新的充要务件与已知的结论相比,多了一个f厂有界的限制,但少了f非负或f非正的假定。该文的结论从某种意义上更深一步地揭示了概率算子测度弱收敛定义的实质。。

This paper gives a new sufficient and necessary condition for the weak convergence of probability operator measure. Compared with the existed results, the conclusion of this paper, which requires f is bounded but remores the condition of f is always positive or negative, reveals some more essence of the weak convergence of POM.