概率赋范线性空间的概率有界性讨论

Probabilistic Boundedness on Probabilistic Normed Spaces

证明了M-PN空间(E,(?),T)中E不可能是概率有界集,只可能是概率半有界集或无界集这两种情况;存在M-PM空间(E,(?),T),其E是概率有界集.

In this paper we prove that the E in M -PN spaces (E, T) can't be bounded set and can only be semi -bounded set or unbounded set, there exists a M-PM space (E, T) IN WHICH THE E is bouded set.