Título
On some pre-orders and partial orders of linear operators on infinite dimensional vector spaces
Autor(es)
Palabras clave
Generalized inverse
Matrix partial order
Core-Nilpotent endomorphism
Space pre-order
Drazin pre-order
G-Drazin partial order
Clasificación UNESCO
1202.01 Álgebra de Operadores
Fecha de publicación
2024
Editor
Springer
Citación
Alonso, D. A. (2024). On some pre-orders and partial orders of linear operators on infinite dimensional vector spaces. Rendiconti Del Circolo Matematico Di Palermo Series 2, 73(7), 2349-2382. https://doi.org/10.1007/s12215-024-01043-1
Resumen
[EN] This article is devoted to the generalization of the Drazin pre-order and the G-Drazin partial
order to Core-Nilpotent endomorphisms over arbitrary k-vector spaces, namely, infinite
dimensional ones. The main properties of this orders are described, such as their respective
characterizations and the relations between these orders and other existing ones, generalizing
the existing theory for finite matrices. In order to do so, G-Drazin inverses are also studied in
this framework. Also, it includes a generalization of the space pre-order to linear operators
over arbitrary k-vector spaces.
Descripción
Financiación de acceso abierto proporcionada por los Fondos Europeos FEDER y la Junta de Castilla y León en el marco de la Estrategia de Investigación e Innovación para la Especialización Inteligente (RIS3) de Castilla y León 2021-2027
URI
ISSN
0009-725X
DOI
10.1007/s12215-024-01043-1
Versión del editor
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