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

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.