概率赋范空间有限维的特征  

Finit Dimensional Characterization on Probabilistic Normed Spaces

作　　者：张敏先[1] 

机构地区：[1]成都气象学院计算科学系,成都610041

出　　处：《工程数学学报》2001年第4期35-41,共7页Chinese Journal of Engineering Mathematics

摘　　要：在概率赋范空间中给出了Riesz定理 ,研究了依概率范数收敛与依坐标收敛的关系 ,证明了概率赋范空间有限维的充要条件 。In this paper, we gives the Riesz theorem on probabilistic normed spaces, studies the relations between convergence in probabilistic norm and convergence in coordinate, proves necessary and sufficient condition of the probabilistic normed spaces which are finit dimensional, and gives meaning of theorem an example.

关 键 词：概率赋范空间 RIESZ定理 有限维 单位球 依概率范数收敛 依坐标收敛 

分 类 号：O177.99[理学—数学]