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math.RA2021
Generalized Cline's formula and Jacobson's lemma in a ring
Huanyin Chen, Marjan Sheibani
We present new generalized Cline's formula and Jacobson's lemma for the g-Drazin inverse in a ring. These extend many known results, e.g., Chen and Abdolyousefi (Generalized Jacobs…
math.RA2021
Perturbation for group inverse in a Banach algebra
Dayong Liu, Tugce Pekacar Calci, Handan Kose +1
We present new additive results for the group inverse in a Banach algebra under certain perturbations. The upper bound of is thereby given. These extend the ma…
math.RA2021
New Representation of Drazin Inverse for Block complex matrices
Huanyin Chen, Marjan Sheibani Abdolyousefi
We present a new formula for the Drazin inverse of the sum of two complex matrices under weaker conditions with perturbations. By using this additive results, we establish new repr…