摘要
应用线性算子的概率范数，证明了一般的ＰＮ空间上线性算子有界与连续的等价性，并进一步揭示这一等价关系的实质．
In this paper, by means of probabilistic norm of linear operators,the equivalence theorem for continuity and boundedness of linear operators on a PN space is proved and essential qualities of this equivalence is expounded too.
