Algebra

   

The G-Drazin Invertibility of Sum with Orthogonal Conditions

Authors: Guo Shile, Huanyin Chen

In this article, we present novel additive properties for the g-Drazin inverse within the context of Banach algebras. Subsequently, we provide representations for the g-Drazin inverse of block operator matrices defined over Banach spaces. These findings build upon and extend various well-known results, such as those by Bu, Feng, and Bai (J. Comput. Appl. Math., 218(2012), 10226--10237) and Dopazo and Martínez-Serrano (Linear Algebra Appl., 432(2010), 1896--1904).

Comments: 15 Pages.

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[v1] 2024-10-19 01:51:57

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