Some additive results for the generalized Drazin inverse in a Banach algebra
By Dragana S. Cvetkovic-Ilic, Xiaoji Liu, Yimin Wei. 2011
46 citations recorded by the source corpus.
. In this note, additive results are presented for the generalized Drazin inverse in Ba-nach algebra. Necessary and sufficient conditions are given for the generalized Drazin invertibility of the sum of two commuting generalized Drazin invertible elements. These results are a generalization of the results from the paper [C.Y. Deng and Y. Wei. New additive results for the generalized Drazin inverse. J. Math. Anal. Appl. , 370:313–321, 2010.] to the Banach algebra case.
Subfields: Algebra and Number Theory, Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/9c48dfb2a9817df9342995b4236d1015b4f751bf
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In Algebra and Number Theory
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Citations in the corpus
- New additive results for the generalized Drazin inverse (2010, background): “Our results are improvement over the main results of [11,15].”
- A note on the Drazin inverse of an anti-triangular matrix (2009, methodology): “20 The Drazin inverse of an operator or a matrix has various applications in singular differential 21 equations and singular difference equations, Markov chains, and iterative methods (see [2–5,6,8,9,15, 22 16,18,20,30,31,32] ).”