By using the C-semigroup of bounded linear operator, a new locally convex vector topological is introduced, and some propositions of it are given.

• 摘要利用C-半群的概念，引入一新的局部凸向量拓扑，并对其基本性质以及在新的局部凸线性拓扑意义下C-半群的性质进行初步研究。