弱可积半群的生成元

GENERATOR OF WEAKLY INTEGRABLE SEMIGROUP

本文引入局部凸空间上弱可积半群的拟生成元概念,并且给出了它的一些性质.最后,利用拟生成元来描述局部凸空间上弱可积半群的生成元.

This paper gives the concept of quasi generator of weakly integrable semi-group on local convex spaces and studies its properties. Weakly integrable semi-group on local convex spaces is described with the quasi-generator. The relation between the quasi-generator and the generator is studied.