Block representations for the g-Drazin inverse in Banach algebras

We present new formulas for the g-Drazin inverse of the sum in a Banach algebra. The block representations for the g-Drazin inverse of a 2 x 2 block operator matrix are thereby established. These extend the known results obtained in [3, 7].

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Bibliographic Details
Published inMathematical notes (Miskolci Egyetem (Hungary)) Vol. 24; no. 3; pp. 1259 - 1271
Main Authors Chen, Huanyin, Sheibani, Marjan
Format Journal Article
LanguageEnglish
Published Miskolc University of Miskolc 2023
Subjects
Banach spaces
Operators (mathematics)
Representations
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Summary:We present new formulas for the g-Drazin inverse of the sum in a Banach algebra. The block representations for the g-Drazin inverse of a 2 x 2 block operator matrix are thereby established. These extend the known results obtained in [3, 7].
ISSN:1787-2405
1787-2413
DOI:10.18514/MMN.2023.3925