摘要
研究了分布函数拟逆的性质,进而利用这些性质,讨论了概率内积空间中半内积族之间的关系,并证明了几种定义下的概率内积空间等同于通常的内积空间.
In the paper some properties concerning the quasi-inverses of distribution functions are studied. By means of these properties some relations among the families of semi-inner products are discussed. It is showed that the probabilistic inner product spaces under several definitions are usual inner product spaces in fact.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2014年第3期512-520,共9页
Acta Mathematica Scientia
关键词
分布函数
三角范数
概率内积空间
半内积
Distribution functions
Triangular norm
Probabilistic inner product space
Semi-inner product.
