| 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=[CADB]的Drazin逆上，推广了文献[14，15]的结果. |
| 关键词: Drazin逆 算子矩阵 |
| DOI： |
| 分类号:O151.21;O177.2 |
| 基金项目: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）. |
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| DRAZIN INVERSE FOR THE SUM OF TWO BOUNDED LINEAR OPERATORS |
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DU Juan, WANG Hua
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College of Science, Inner Mongolia University of Technology, Hohhot 010021, China
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| Abstract: |
| 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]. |
| Key words: Drazin inverse operator matrix |
