The g-Drazin inverses of anti-triangular block operator matrices

Huanyin Chen and Marjan Sheibani

Applied Mathematics and Computation, 2024, vol. 463, issue C

Abstract: An element a in a Banach algebra A has g-Drazin inverse if there exists b∈A such that ab=ba,b=bab and a−a2b∈Aqnil. In this paper we find new explicit representations of the g-Drazin inverse of the block operator matrix (EIF0). We thereby solve a wider kind of singular differential equations posed by Campbell (1983) [2].

Keywords: g-Drazin inverse; Drazin inverse; Operator matrix; Banach algebra (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:463:y:2024:i:c:s0096300323005374

DOI: 10.1016/j.amc.2023.128368

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