Czechoslovak Mathematical Journal, Vol. 72, No. 3, pp. 751-763, 2022
Explicit solutions of infinite linear systems associated with group inverse endomorphisms
Fernando Pablos Romo
Received April 15, 2021. Published online February 22, 2022.
Abstract: 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.
Keywords: infinite linear system; group inverse; Moore-Penrose inverse; EP endomorphism
Affiliations: Fernando Pablos Romo, Departamento de Matemáticas and Instituto de Fisica Fundamental y Matemáticas, Universidad de Salamanca, Plaza de la Merced 1-4, 37008 Salamanca, España, e-mail: fpablos@usal.es