两个有界线性算子和的Drazin逆

摘要

本文研究了两个有界线性算子和的Drazin 逆的问题.利用算子的预解式展开的方法,得到了(P +Q)D的具体表达式,并将其应用到四分块算子矩阵M =[ABCD]的Drazin逆上,推广了文献[14,15]的结果.%In this paper, we investigate the Drazin inverse for the sum of two bounded linear operators. Using the resolvent expansion of the operator, the explicit representation of the Drazin inverse(P+Q)Dis given. Then,we apply our results to the Drazin inverse of the operator matrix M =[ABCD]which generalize the results in[14,15].