Additive results for the generalized Drazin inverse
Additive results for the generalized Drazin inverse
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DOI：
10.1017/s1446788700008508
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发表时间：
2002-08
影响因子：
0.7
通讯作者：
D. Djordjevic;Yimin Wei
中科院分区：
文献类型：
--
作者：
D. Djordjevic;Yimin Wei
摘要给出了Banach空间算子广义Drazin逆的可加扰动结果。精确地说，如果Ad表示任意复Banach空间上有界线性算子A的广义Drazin逆，则在某些特殊情况下，（A + B）d是根据Ad和Bd计算的。因此，Hartwig，Wang和Wei（Linear Algebra Appl.322（2001），207-217）的最近结果被扩展到无限维设置，并具有简化的证明。
Abstract Additive perturbation results for the generalized Drazin inverse of Banach space operators are presented. Precisely, if Ad denotes the generalized Drazin inverse of a bounded linear operator A on an arbitrary complex Banach space, then in some special cases (A + B)d is computed in terms of Ad and Bd. Thus, recent results of Hartwig, Wang and Wei (Linear Algebra Appl. 322 (2001), 207–217) are extended to infinite dimensional settings with simplified proofs.