Banach空间中闭线性算子的Drazin广义逆 广义Drazin逆和Drazin逆  

DRAZIN GENERALIZED INVERSE,DRAZIN INVERSE AND GENERALIZED DRAZIN INVERSE OF BOUNDLESS CLOSED LINEAR OPERATOR IN BANACH SPACE

作　　者：高剑[1] 王玉文[1] 

机构地区：[1]哈尔滨师范大学

出　　处：《哈尔滨师范大学自然科学学报》2008年第2期1-3,共3页Natural Science Journal of Harbin Normal University

基　　金：国家自然科学基金项目(10671049);黑龙江省自然科学基金项目(A02004-09)

摘　　要：给出Banach空间中闭线性算子的广义Drazin逆的定义,讨论Banach空间中闭线性算子的Drazin广义逆,广义Drazin逆和Drazin逆的不同定义形式及它们之间的等价关系.In this paper, we give the definition of the generalized Drazin inverse of closed linear operators in Banach spaces , and study different methods of definition for Drazin generalized inverse, generalized Drazin inverse and Drazin inverse for closed linear operators in Banach spaces. Furthermore, we obtain the relationship of different methods for Drazin generalized inverse, generalized Drazin inverse and Drazin inverse for closed linear operators in Banach spaces.

关 键 词：BANACH空间 闭线性算子 Drazin广义逆 广义Drazin逆 DRAZIN逆 

分 类 号：O177.2[理学—数学] O151.21[理学—基础数学]