        TY  - JOUR
T1  - The generalized Drazin inverse of anti-triangular block-operator matrices
AU  - Sheibani Abdolyousefi, Marjan
AU  - Zamiri,, F.
AU  - Ghaffari, A.
PY  - 2025
DA  - July
Y2  - 2024
DO  - 10.24330/ieja.1587216
JF  - International Electronic Journal of Algebra
JO  - IEJA
PB  - Abdullah HARMANCI
WT  - DergiPark
SN  - 1306-6048
SP  - 82
EP  - 89
VL  - 38
IS  - 38
LA  - en
AB  - In this paper we investigate the g-Drazin invertibility of an anti-triangular block-operator matrix $\left(  \begin{array}{cc}    E&amp;amp;I\\    F&amp;amp;0  \end{array}\right)$ with $F^{\pi}EF^d=0$ and $F^{\pi}EF^iE=0$ for all $i\in {\mathbb N}$. This generalizes the main results of [Guo, Zou and Chen, Hacet. J. Math. Stat., 49(3)(2020),  1134-1149] and [Chen and Sheibani, Appl. Math. Comput., 463(2024), 128368 (12 pp)] to a wider case.
KW  - g-Drazin inverse
KW  - block-operator matrix
KW  - bounded linear operator
KW  - spectral idempotent
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UR  - https://doi.org/10.24330/ieja.1587216
L1  - https://dergipark.org.tr/en/download/article-file/4374988
ER  -