Bilateral shorted operators and parallel sums

Autores
Antezana, Jorge Abel; Corach, Gustavo; Stojanoff, Demetrio
Año de publicación
2006
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we study shorted operators relative to two different subspaces, for bounded operators on infinite dimensional Hilbert spaces. We define two notions of "complementability" in the sense of Ando for operators, and study the properties of the shorted operators when they can be defined. We use these facts in order to define and study the notions of parallel sum and subtraction, in this Hilbertian context.
Facultad de Ciencias Exactas
Materia
Matemática
Minus order
Parallel subtraction
Parallel sum
Schur complements
Shorted operators
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/83102
Acceder
id SEDICI_d3fd5e218049997dc240962329561f8d
oai_identifier_str oai:sedici.unlp.edu.ar:10915/83102
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Bilateral shorted operators and parallel sumsAntezana, Jorge AbelCorach, GustavoStojanoff, DemetrioMatemáticaMinus orderParallel subtractionParallel sumSchur complementsShorted operatorsIn this paper we study shorted operators relative to two different subspaces, for bounded operators on infinite dimensional Hilbert spaces. We define two notions of "complementability" in the sense of Ando for operators, and study the properties of the shorted operators when they can be defined. We use these facts in order to define and study the notions of parallel sum and subtraction, in this Hilbertian context.Facultad de Ciencias Exactas2006info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf570-588http://sedici.unlp.edu.ar/handle/10915/83102enginfo:eu-repo/semantics/altIdentifier/issn/0024-3795info:eu-repo/semantics/altIdentifier/doi/10.1016/j.laa.2005.10.039info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:15:45Zoai:sedici.unlp.edu.ar:10915/83102Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:15:46.131SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Bilateral shorted operators and parallel sums
title Bilateral shorted operators and parallel sums
spellingShingle Bilateral shorted operators and parallel sums
Antezana, Jorge Abel
Matemática
Minus order
Parallel subtraction
Parallel sum
Schur complements
Shorted operators
title_short Bilateral shorted operators and parallel sums
title_full Bilateral shorted operators and parallel sums
title_fullStr Bilateral shorted operators and parallel sums
title_full_unstemmed Bilateral shorted operators and parallel sums
title_sort Bilateral shorted operators and parallel sums
dc.creator.none.fl_str_mv Antezana, Jorge Abel
Corach, Gustavo
Stojanoff, Demetrio
author Antezana, Jorge Abel
author_facet Antezana, Jorge Abel
Corach, Gustavo
Stojanoff, Demetrio
author_role author
author2 Corach, Gustavo
Stojanoff, Demetrio
author2_role author
author
dc.subject.none.fl_str_mv Matemática
Minus order
Parallel subtraction
Parallel sum
Schur complements
Shorted operators
topic Matemática
Minus order
Parallel subtraction
Parallel sum
Schur complements
Shorted operators
dc.description.none.fl_txt_mv In this paper we study shorted operators relative to two different subspaces, for bounded operators on infinite dimensional Hilbert spaces. We define two notions of "complementability" in the sense of Ando for operators, and study the properties of the shorted operators when they can be defined. We use these facts in order to define and study the notions of parallel sum and subtraction, in this Hilbertian context.
Facultad de Ciencias Exactas
description In this paper we study shorted operators relative to two different subspaces, for bounded operators on infinite dimensional Hilbert spaces. We define two notions of "complementability" in the sense of Ando for operators, and study the properties of the shorted operators when they can be defined. We use these facts in order to define and study the notions of parallel sum and subtraction, in this Hilbertian context.
publishDate 2006
dc.date.none.fl_str_mv 2006
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/83102
url http://sedici.unlp.edu.ar/handle/10915/83102
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0024-3795
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.laa.2005.10.039
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
570-588
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
_version_ 1844616029813080064
score 13.070432

Publicaciones similares