Título
Drazin-Star and Star-Drazin Inverses of Bounded Finite Potent Operators on Hilbert Spaces
Autor(es)
Palabras clave
Bounded operator
Hilbert space
Star-Drazin inverse
Drazin-Star inverse
Clasificación UNESCO
12 Matemáticas
1206.10 Matrices
Fecha de publicación
2021
Editor
Springer Nature
Citación
Pablos Romo, F., (2022). Drazin-Star and Star-Drazin Inverses of Bounded Finite Potent Operators on Hilbert Spaces. Results Math 77, 4 . https://doi.org/10.1007/s00025-021-01540-0
Resumen
[EN] The aim of this work is to extend to bounded finite potent endomorphisms on arbitrary Hilbert spaces the notions of the Drazin-Star and the Star-Drazin of matrices that have been recently introduced by D. Mosić. The existence, structure and main properties of these operators are given. In particular, we obtain new properties of the Drazin-Star and the Star-Drazin of a finite complex matrix. Moreover, the explicit solutions of some infinite linear systems on Hilbert spaces from the Drazin-Star inverse of a bounded finite potent endomorphism are studied.
URI
ISSN
1422-6383
DOI
10.1007/s00025-021-01540-0
Versión del editor
Aparece en las colecciones
Patrocinador
Publicación en abierto financiada por el Consorcio de Bibliotecas Universitarias de Castilla y León (BUCLE), con cargo al Programa Operativo 2014ES16RFOP009 FEDER 2014-2020 DE CASTILLA Y LEÓN, Actuación:20007-CL - Apoyo Consorcio BUCLE
