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

• 摘要利用C-半群及连续线性泛函的概念，引入了一新的局部凸向量拓扑，并对其基本性质以及C-半群在新的局部凸线性拓扑意义下的性质进行了初步研究。