【摘要】 本文详细讨论了模空间和线性空间之间的关系以及强随机赋范空间、随机赋范空间之间的关系；通过引入半非零元和广义逆随机变量这两个概念，证明了两个强随机赋范空间上的ａ．ｓ有界随机线性算子的几个漂亮的充要条件。更多还原

【Abstract】 Abstract In this paper we discuss the relations between random linear space and linear space as well as that bctween strong random normed space and random normed space.By defining semi non zero elements and generalized inverse random variables,we prove several necessary and sufficient conditions of almost surely bounded random linear operator on two strong random normed spaces.更多还原