Additive results for the generalized Drazin inverse in a Banach algebra
✍ Scribed by Dragana S. Cvetković-Ilić; Dragan S. Djordjević; Yimin Wei
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 136 KB
- Volume
- 418
- Category
- Article
- ISSN
- 0024-3795
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📜 SIMILAR VOLUMES
In this paper we prove the formula for the expression (A + B) d,W in terms of A, B, W , A d,W , B d,W , assuming some conditions for A, B and W . Here S d,W denotes the generalized W -weighted Drazin inverse of a linear bounded operator S on a Banach space.
In this paper, we investigate an explicit representation of the generalized Drazin inverse (a ± b) d in terms of a, a d , b and b d under the condition ab = λba or ab = aba and extend to Banach algebras recent results of C.Y. Deng.
In this paper, we consider the Drazin inverse of a sum of two matrices and derive additive formulas under conditions weaker than those used in some recent papers on the subject. As a corollary we get the main results from the paper of Yang and Liu [H. Yang, X. Liu, The Drazin inverse of the sum of t