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

Authors

HUIHUI ZHU
JIANLONG CHEN
PEDRO PATRICIO

DOI

10.3906/mat-1405-1

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

First Page

1316

Last Page

1324

Recommended Citation

ZHU, HUIHUI; CHEN, JIANLONG; and PATRICIO, PEDRO (2016) "The Moore-Penrose inverse of differences and products of projectors in a ring with involution," Turkish Journal of Mathematics: Vol. 40: No. 6, Article 12. https://doi.org/10.3906/mat-1405-1
Available at: https://journals.tubitak.gov.tr/math/vol40/iss6/12