On some pre-orders and partial orders of linear operators on infinite dimensional vector spaces

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

Detalles Bibliográficos
Autor: Alba Alonso, Diego
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/166722
Acceso en línea:http://hdl.handle.net/10366/166722
Access Level:acceso abierto
Palabra clave:Generalized inverse
Matrix partial order
Core-Nilpotent endomorphism
Space pre-order
Drazin pre-order
G-Drazin partial order
1202.01 Álgebra de Operadores
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spelling On some pre-orders and partial orders of linear operators on infinite dimensional vector spacesAlba Alonso, DiegoGeneralized inverseMatrix partial orderCore-Nilpotent endomorphismSpace pre-orderDrazin pre-orderG-Drazin partial order1202.01 Álgebra de OperadoresFinanciación 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[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.Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. No funding was received to assist with the preparation of this manuscript.Springer202520252024info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10366/166722reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésAtribución 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1667222026-06-07T06:28:51Z
dc.title.none.fl_str_mv On some pre-orders and partial orders of linear operators on infinite dimensional vector spaces
title On some pre-orders and partial orders of linear operators on infinite dimensional vector spaces
spellingShingle On some pre-orders and partial orders of linear operators on infinite dimensional vector spaces
Alba Alonso, Diego
Generalized inverse
Matrix partial order
Core-Nilpotent endomorphism
Space pre-order
Drazin pre-order
G-Drazin partial order
1202.01 Álgebra de Operadores
title_short On some pre-orders and partial orders of linear operators on infinite dimensional vector spaces
title_full On some pre-orders and partial orders of linear operators on infinite dimensional vector spaces
title_fullStr On some pre-orders and partial orders of linear operators on infinite dimensional vector spaces
title_full_unstemmed On some pre-orders and partial orders of linear operators on infinite dimensional vector spaces
title_sort On some pre-orders and partial orders of linear operators on infinite dimensional vector spaces
dc.creator.none.fl_str_mv Alba Alonso, Diego
author Alba Alonso, Diego
author_facet Alba Alonso, Diego
author_role author
dc.subject.none.fl_str_mv Generalized inverse
Matrix partial order
Core-Nilpotent endomorphism
Space pre-order
Drazin pre-order
G-Drazin partial order
1202.01 Álgebra de Operadores
topic Generalized inverse
Matrix partial order
Core-Nilpotent endomorphism
Space pre-order
Drazin pre-order
G-Drazin partial order
1202.01 Álgebra de Operadores
description 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
publishDate 2024
dc.date.none.fl_str_mv 2024
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10366/166722
url http://hdl.handle.net/10366/166722
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv Atribución 4.0 Internacional
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución 4.0 Internacional
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca
instname:Universidad de Salamanca (USAL)
instname_str Universidad de Salamanca (USAL)
reponame_str GREDOS. Repositorio Institucional de la Universidad de Salamanca
collection GREDOS. Repositorio Institucional de la Universidad de Salamanca
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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