scholarly journals Further Results on the Drazin Inverse of Tensors via Einstein Product

2021 ◽  
Vol 37 (4) ◽  
pp. 537-549
Author(s):  
Chunmeng Liu
Keyword(s):  
Drazin Inverse ◽  
Einstein Product

Cline’s formula for g-Drazin inverses in a ring

Filomat ◽  
2019 ◽  
Vol 33 (8) ◽  
pp. 2249-2255
Author(s):  
Huanyin Chen ◽  
Marjan Abdolyousefi
Keyword(s):  
Operator Theory ◽  
Spectral Properties ◽  
Associative Ring ◽  
Linear Operators ◽  
Drazin Inverse ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Cline’S Formula

It is well known that for an associative ring R, if ab has g-Drazin inverse then ba has g-Drazin inverse. In this case, (ba)d = b((ab)d)2a. This formula is so-called Cline?s formula for g-Drazin inverse, which plays an elementary role in matrix and operator theory. In this paper, we generalize Cline?s formula to the wider case. In particular, as applications, we obtain new common spectral properties of bounded linear operators.

Acute perturbation of Drazin inverse and oblique projectors

2018 ◽  
Vol 13 (6) ◽  
pp. 1427-1445 ◽  
Author(s):  
Sanzheng Qiao ◽  
Yimin Wei
Keyword(s):  
Drazin Inverse

scholarly journals Expressions for the g-Drazin inverse of additive perturbed elements in a Banach algebra

2010 ◽  
Vol 432 (8) ◽  
pp. 1885-1895 ◽  
Author(s):  
N. Castro-González ◽  
M.F. Martínez-Serrano
Keyword(s):  
Banach Algebra ◽  
Drazin Inverse

scholarly journals A characterization of the drazin inverse

2001 ◽  
Vol 335 (1-3) ◽  
pp. 183-188 ◽  
Author(s):  
Liping Zhang
Keyword(s):  
Drazin Inverse

scholarly journals Rank and the Drazin inverse in Banach algebras

2006 ◽  
Vol 177 (3) ◽  
pp. 211-224 ◽  
Author(s):  
R. M. Brits ◽  
L. Lindeboom ◽  
H. Raubenheimer
Keyword(s):  
Banach Algebras ◽  
Drazin Inverse
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