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=[A B C D]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）^D is given. Then, we apply our results to the Drazin inverse of the operator matrix M =[A B C D], which generalize the results in [14, 15].
作者
杜娟
王华
DU Juan;WANG Hua(College of Science,Inner Mongolia University of Technology,Hohhot 010021,China)
出处
《数学杂志》
2018年第3期511-519,共9页
Journal of Mathematics
基金
国家自然科学基金资助(11261034
11601249)
内蒙古自然科学基金资助(2014MS0113
2015BS0105)
