广义C_0类等度连续半群拓扑

Generalized C_0 Semigroup Topology of Equicontinuous Class

局部凸线性空间的拓扑可以由一族半范数来确定,而利用算子半群可以诱导出不同的半范数,从而建立不同的局部凸线性拓扑空间且具有其特殊的性质。利用局部凸线性拓扑空间上的广义C0类等度连续半群,诱导出一新的局部向量拓扑广义C0类等度连续半群拓扑,并研究了它的一些性质,其结果极大的丰富了广义C0半群的内容,对实际工作有重大的意义。

The topology of locally convex linear space can be determined by the semi-norm of a family,while the different semi-norms can be induced by making use of semigroup of operators to establish different locally convex linear topological space,and it is of special nature.The paper makes use of generalized C0 semigroup topology of equicontinuous class in the locally convex linear topological space to induce a new locally vector topology generalized C0 semigroup topology of equicontinuous class,and searches some natures of it,the results greatly riches the contents of generalized C0 semigroup,and they have important meanings to the research of our actual work.