Some results on the generalized Drazin inverse of operator matrices

Some results on the generalized Drazin inverse of operator matrices
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DOI:
10.1080/03081080902722642
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发表时间:
2010-05
影响因子:
1.1
通讯作者:
Chunyuan Deng;D. Cvetković-Ilić;Yimin Wei
Chunyuan Deng;D. Cvetković-Ilić;Yimin Wei
中科院分区:
数学3区
文献类型:
--
作者:
Chunyuan Deng;D. Cvetković-Ilić;Yimin Wei

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研究了2 × 2算子矩阵的广义Drazin逆Md,其中A ∈ N(X),D ∈ N(Y)是广义Drazin逆.在一定的条件下,导出了算子矩阵M的广义Drazin逆Md关于A,B,C,D,Ad和Dd的表达式.
The generalized Drazin inverse M d of a 2 × 2 operator matrix is considered, where A ∈ ℬ(X) and D ∈ ℬ(Y) are generalized Drazin invertible. Expressions for the generalized Drazin inverse M d of operator matrix M in terms of the individual blocks A, B, C, D, A d and D d are derived under some conditions.