Geodesic
Additive properties of g-Drazin invertible linear operators
Filomat, Tome 36 (2022) no. 10, p. 3301

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DOI

In this paper, we investigate additive properties of generalized Drazin inverse for bounded linear operators. As an application we present new conditions under which a 2 × 2 operator matrix has g-Drazin inverse. These extend the main results of Dana and Yousefi (Int. J. Appl. Comput. Math., 4(2018), page 9), Yang and Liu (J. Comput. Appl. Math., 235(2011), 1412–1417) and Sun et al. (Filomat, 30(2016), 3377–3388).
DOI : 10.2298/FIL2210301C
Classification : 15A09, 47A05
Keywords: generalized Drazin inverse, additive property, operator matrix, Banach algebra 
Huanyin Chen; Sheibani Abdolyousefi. Additive properties of g-Drazin invertible linear operators. Filomat, Tome 36 (2022) no. 10, p. 3301 . doi: 10.2298/FIL2210301C
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     title = {Additive properties of {g-Drazin} invertible linear operators},
     journal = {Filomat},
     pages = {3301 },
     year = {2022},
     volume = {36},
     number = {10},
     doi = {10.2298/FIL2210301C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2210301C/}
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