Abstract
In this article, we obtain new additive results on the generalized Drazin inverse of a sum of two elements in a Banach algebra. Applying these additive results, we also give explicit formulas for the generalized Drazin inverse of a block matrix in a Banach algebra.
Citation
Dijana Mosić. Honglin Zou. Jianlong Chen. "The generalized Drazin inverse of the sum in a Banach algebra." Ann. Funct. Anal. 8 (1) 90 - 105, February 2017. https://doi.org/10.1215/20088752-3764461
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