两个有界线性算子和的Drazin逆  

DRAZIN INVERSE FOR THE SUM OF TWO BOUNDED LINEAR OPERATORS

作　　者：杜娟 王华[1] DU Juan;WANG Hua(College of Science,Inner Mongolia University of Technology,Hohhot 010021,China)

机构地区：[1]内蒙古工业大学理学院,内蒙古呼和浩特010021

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)

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].

关 键 词：DRAZIN逆 算子矩阵 

分 类 号：O151.21[理学—数学] O177.2[理学—基础数学]