2019
Том 71
№ 11

# 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.

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