Drazin Inverse of Anti-triangular Operator Matrices

被引：1
|
作者：
Wang, Hua [1 ]
Wu, Cai [2 ]
Huang, Junjie [2 ]
机构：
[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China
[2] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2019年 / 42卷 / 03期
关键词：
Drazin inverse; Anti-triangular operator matrix; Drazin index; REPRESENTATION;
D O I：
10.1007/s40840-017-0533-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we investigate the existence of the Drazin inverse for the anti-triangular operator matrix open=with A2=A and CAB=0, and the explicit representation of MD is given in term of A,AD,B,C and (CB)D. In addition, it is shown that ind(M)2>ind(CB)+2, which is important to prove the existence and representation of the Drazin inverse for M.
引用
收藏
页码：1071 / 1083
页数：13
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