TY - JOUR AU - D. Mosić PY - 2016/06/25 Y2 - 2024/03/29 TI - Representations for the generalized inverses of a modified operator JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 68 IS - 6 SE - Short communications DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1885 AB - Some explicit representations for the generalized inverses of a modified operator $A + YGZ$ are derived under some conditions, where $A, Y, Z$, and $G$ are operators between Banach spaces. These results generalize the recent works aboutthe Drazin inverse and the Moore – Penrose inverse of complex matrices and Hilbert-space operators. ER -