2022
DOI: 10.48550/arxiv.2203.07582
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Group invertibility of the sum in rings and its applications

Huanyin Chen1,
Dayong Liu2,
Marjan Sheibani3

Abstract: We present new additive results for the group invertibility in a ring. Then we apply our results to block operator matrices over Banach spaces and derive the existence of group inverses of 2 × 2 block operator matrices. These generalize many known results, e.g.,

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