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February 2017 The generalized Drazin inverse of the sum in a Banach algebra
Dijana Mosić, Honglin Zou, Jianlong Chen
Ann. Funct. Anal. 8(1): 90-105 (February 2017). DOI: 10.1215/20088752-3764461

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.

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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

Information

Received: 4 April 2016; Accepted: 26 June 2016; Published: February 2017
First available in Project Euclid: 31 October 2016

zbMATH: 06816700
MathSciNet: MR3566893
Digital Object Identifier: 10.1215/20088752-3764461

Subjects:
Primary: 46H05
Secondary: 47A05

Keywords: additive properties , Banach algebras , generalized Drazin inverse

Rights: Copyright © 2017 Tusi Mathematical Research Group

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Vol.8 • No. 1 • February 2017
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