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

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 produc...

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Detalhes bibliográficos
Autor principal: Zhu, Huihui (author)
Outros Autores: Chen, Jianlong (author), Patrício, Pedro (author)
Formato: article
Idioma:eng
Publicado em: 2016
Assuntos:
Moore–Penrose inverses
normal elements
involutions
projectors
Ciências Naturais::Matemáticas
Science & Technology
Texto completo:http://hdl.handle.net/1822/45666
País:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/45666
Descrição
Resumo: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.

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