Additive results for the generalized Drazin inverse

Journal of the Australian Mathematical Society

Dragan S. Djordjević¹ 

[1] Yimin Wei

关键词: primary 47A05;    47A55;    15A09;   

DOI  :  10.1017/S1446788700008508

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

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.

【 授权许可】

Unknown