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-  2018 

两个有界线性算子和的Drazin逆
DRAZIN INVERSE FOR THE SUM OF TWO BOUNDED LINEAR OPERATORS

Keywords: Drazin逆 算子矩阵
Drazin inverse operator matrix

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Abstract:

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=[CADB]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=[CADB], which generalize the results in [14, 15]

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