关于半直线上概率测度者积半群结构的几个结果

Some Results in the Convolution Semigroup Structure of Probability Measures on the Half-Line

以直线上概率测度卷积半群的有关性质为基础，证明了半直线Ｒ＋上的概率测度卷积半群（，＊）的弱素元全体在（．＊）中稠密及Ｉ０元全体在（，＊）的无穷可分元全体中稠密．这些结果对广义卷积代数（，＊）的半群结构的研究具有重要意义．

Based on the properties of the convolution semigroup of probability measureson the line R, tile paper proved that the set of weakly prime elements was dense in (, * ),the convolution semigroup of probability measures on the half-line R4. and that tile set of Ioelements was dense in the subset of infinitely divisible elements of (, * ). These results areof great significance to the studying of tile semigroup structure of generaliZed convolution algebras (, o ).