Generalized Drazin invertibility of operator matrices
Milo\v{s} D Cvetkovi\'c
TL;DR
This paper investigates the generalized Drazin invertibility of operator matrices, extending recent results and providing a comprehensive analysis of their invertibility properties on Banach and Hilbert spaces.
Contribution
It offers new insights into the generalized Drazin invertibility of operator matrices, extending existing results in the field.
Findings
Extended recent results on operator matrix invertibility
Characterized conditions for generalized Drazin invertibility
Analyzed invertibility on Banach and Hilbert spaces
Abstract
We study the generalized Drazin invertibility as well as the Drazin and ordinary invertbility of an operator matrix (A C \\ 0 B) acting on a Banach or on a Hilbert space. As a consequence some recent results are extended.
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