【摘要】 <正> 本文通过引入与τ_T,L协调的实数与分布函数的⊙_L乘法,修正了τ_T,L型PN空间的定义,讨论了这类PN空间的线性拓扑,证明了一定条件下的可赋可列拟范性。 一、引言 为了节省篇幅,我们不加说明地沿用[1]的术语和符号。 Serstnev首先提出了概率赋范（简称PN）空间的概念。三元组（V,v,τ）称为PN空更多还原

【Abstract】 In this paper, the definition of probabilistic normed (pN,for short) spaces under τT,L is improved by introducing L multiplication of real number and distribution function cooperative to τT,L,linearly topological properties of this class of PN spaces are discussed, and it is shown that they are denumerablly quasi-normable under certain conditions更多还原