Geodesic
The g-Drazin invertibility in a Banach algebra
Filomat, Tome 37 (2023) no. 14, p. 4639

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DOI

We present necessary and sufficient conditions under which the anti-triangular matrix a b 1 0 over a Banach algebra has g-Drazin inverse. New additive results for g-Drazin inverse are obtained. Then we apply our results to 2 × 2 operator matrices and generalize many known results, e.g., [5, Theorem 2.2], [13, Theorem 2.1] and [14, Theorem 4.1].
DOI : 10.2298/FIL2314639C
Classification : 15A09, 47C05, 16U99
Keywords: g-Drazin inverse, anti-triangular matrix, operator matrix, Banach algebra 
Huanyin Chen; Marjan Sheibani Abdolyousef. The g-Drazin invertibility in a Banach algebra. Filomat, Tome 37 (2023) no. 14, p. 4639 . doi: 10.2298/FIL2314639C
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     title = {The {g-Drazin} invertibility in a {Banach} algebra},
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     year = {2023},
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     doi = {10.2298/FIL2314639C},
     language = {en},
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