The Moore-Penrose inverse of differences and products of projectors in a ring with involution

Authors: HUIHUI ZHU, JIANLONG CHEN, PEDRO PATRICIO

Abstract: In this paper, we study the Moore-Penrose inverses of differences and products of projectors in a ring with involution. Some necessary and sufficient conditions for the existence of the Moore-Penrose inverse are given. Moreover, the expressions of the Moore-Penrose inverses of differences and products of projectors are presented.

Keywords: Moore-Penrose inverses, normal elements, involutions, projectors

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