拓扑线性空间中连续线性算子的Drazin广义逆  

DRAZIN GENERALIZED INVERSE OF CONTINUOUS LINEAR OPERATOR IN TOPOLOGICAL LINEAR SPACE

作　　者：李玉霞[1] 李珊[2] 

机构地区：[1]绥化市教育学院 [2]黑河学院

出　　处：《哈尔滨师范大学自然科学学报》2007年第5期24-26,共3页Natural Science Journal of Harbin Normal University

摘　　要：拓扑线性空间中连续线性算子T具有连续D razin广义逆的充分必要条件是T的指标Ind(T)=k<+∞,且R(Tk)为具有T—逆性质的闭线性子空间.We prove in this paper that if linear operator T has continuous Drazin generalized inverse in topological linear space,its necessary and sufficient condition is Ind(T) = k < +∞ and R(Tk) has closed linear subspace with T-inverse property.

关 键 词：拓扑线性空间 连续线性算子 Drazin广义逆 T-逆性质 算子指标 

分 类 号：N55[自然科学总论] G658.3[文化科学—教育学]