B值随机元的连续逼近  

Continuous Approximation for B-valued Random Elements

作　　者：唐振松[1] 

机构地区：[1]漳州师范学院数学系,福建漳州363000

出　　处：《漳州师范学院学报（自然科学版）》2005年第2期24-27,共4页Journal of ZhangZhou Teachers College（Natural Science)

摘　　要：本文首先证明了B值随机元序列几乎处处收敛与几乎一致收敛的等价性,然后用它来证明一个关于连续函数逼近B值随机元的Lusin型定理.The author proves, at first, that the convergence almost-everywhere for a sequence of B-valued random elements is equivalent to its convergence almost-uniformly and then, gives a theorem of Lusin–type declaring that every B-valued random element can be approximated almost uniformly by a sequence of continuous functions.

关 键 词：B值随机元 连续逼近 几乎处处收敛 一致收敛 sin型 函数逼近 等价性 证明 定理 

分 类 号：O211.4[理学—概率论与数理统计] TP18[理学—数学]