Explicit solutions of infinite linear systems associated with group inverse endomorphisms

[EN]The aim of this note is to offer an algorithm for studying solutions of infinite linear systems associated with group inverse endomorphisms. As particular results, we provide different properties of the group inverse and we characterize EP endomorphisms of arbitrary vector spaces from the coinci...

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Detalhes bibliográficos
Autor: Pablos Romo, Fernando
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Recursos:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/164061
Acesso em linha:http://hdl.handle.net/10366/164061
Access Level:acceso embargado
Palavra-chave:Infinite linear system
Group inverse
Moore-Penrose inverse
EP endomorphism
12 Matemáticas
Descrição
Resumo:[EN]The aim of this note is to offer an algorithm for studying solutions of infinite linear systems associated with group inverse endomorphisms. As particular results, we provide different properties of the group inverse and we characterize EP endomorphisms of arbitrary vector spaces from the coincidence of the group inverse and the Moore-Penrose inverse.