2017
Том 69
№ 6

All Issues

Representations for the generalized inverses of a modified operator

Mosić D.


Abstract

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 about the Drazin inverse and the Moore – Penrose inverse of complex matrices and Hilbert-space operators.

Citation Example: Mosić D. Representations for the generalized inverses of a modified operator // Ukr. Mat. Zh. - 2016. - 68, № 6. - pp. 860-864.