Block representations for the g-Drazin inverse in Banach algebras

Huanyin Chen, Marjan Sheibani · Miskolc mathematical notes/Mathematical notes · 2023

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 × 2 block operator matrix are thereby established.These extend the known results obtained in [3,7].

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