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Additive Results of the Drazin Inverse for Bounded Linear Operators

✍ Scribed by Junjie Huang, Yunfeng Shi, Alatancang Chen

Book ID
120950730
Publisher
SP Birkhäuser Verlag Basel
Year
2013
Tongue
English
Weight
206 KB
Volume
8
Category
Article
ISSN
1661-8254

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Additive results for the Wg–Drazin inver
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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.

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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