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Explicit Solutions of Infinite Linear Systems Associated with Group Inverse Endomorphisms

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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.

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Authors and Affiliations

  1. Departamento de Matemáticas and Instituto de Física Fundamental y Matemáticas, Universidad de Salamanca, Plaza de la Merced 1-4, 37008, Salamanca, España

    Fernando Pablos Romo

Authors
  1. Fernando Pablos Romo
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Corresponding author

Correspondence to Fernando Pablos Romo.

Additional information

This work was partially supported by the Spanish Government research projects No. PGC2018-099599-B-I00 and the Regional Government of Castile and Leon research project No. J416/463AC03.

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Pablos Romo, F. Explicit Solutions of Infinite Linear Systems Associated with Group Inverse Endomorphisms. Czech Math J 72, 751–763 (2022). https://doi.org/10.21136/CMJ.2022.0143-21

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  • DOI: https://doi.org/10.21136/CMJ.2022.0143-21

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