Partial isometries and pseudoinverses in semi-Hilbertian spaces

Autores
Fongi, Guillermina; Gonzalez, Maria Celeste
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this article the concepts of partial isometries, normal partial isometries and generalized projections in the context of operators defined on a semi-Hilbertian space are developed. In particular, we analyze the relationship between these operators and different notions of pseudoinverses in semi-Hilbertian spaces. Finally, we apply the results obtained to describe the set of weighted projections into closed subspaces.
Fil: Fongi, Guillermina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
Fil: Gonzalez, Maria Celeste. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
Materia
47b50
Msc 46c05
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/38614
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Partial isometries and pseudoinverses in semi-Hilbertian spacesFongi, GuillerminaGonzalez, Maria Celeste47b50Msc 46c05https://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this article the concepts of partial isometries, normal partial isometries and generalized projections in the context of operators defined on a semi-Hilbertian space are developed. In particular, we analyze the relationship between these operators and different notions of pseudoinverses in semi-Hilbertian spaces. Finally, we apply the results obtained to describe the set of weighted projections into closed subspaces.Fil: Fongi, Guillermina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaFil: Gonzalez, Maria Celeste. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaElsevier Science Inc2016-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/38614Fongi, Guillermina; Gonzalez, Maria Celeste; Partial isometries and pseudoinverses in semi-Hilbertian spaces; Elsevier Science Inc; Linear Algebra and its Applications; 495; 4-2016; 324-3430024-3795CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S002437951600029Xinfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.laa.2016.01.026info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:41:59Zoai:ri.conicet.gov.ar:11336/38614instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-15 14:42:00.174CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Partial isometries and pseudoinverses in semi-Hilbertian spaces
title Partial isometries and pseudoinverses in semi-Hilbertian spaces
spellingShingle Partial isometries and pseudoinverses in semi-Hilbertian spaces
Fongi, Guillermina
47b50
Msc 46c05
title_short Partial isometries and pseudoinverses in semi-Hilbertian spaces
title_full Partial isometries and pseudoinverses in semi-Hilbertian spaces
title_fullStr Partial isometries and pseudoinverses in semi-Hilbertian spaces
title_full_unstemmed Partial isometries and pseudoinverses in semi-Hilbertian spaces
title_sort Partial isometries and pseudoinverses in semi-Hilbertian spaces
dc.creator.none.fl_str_mv Fongi, Guillermina
Gonzalez, Maria Celeste
author Fongi, Guillermina
author_facet Fongi, Guillermina
Gonzalez, Maria Celeste
author_role author
author2 Gonzalez, Maria Celeste
author2_role author
dc.subject.none.fl_str_mv 47b50
Msc 46c05
topic 47b50
Msc 46c05
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this article the concepts of partial isometries, normal partial isometries and generalized projections in the context of operators defined on a semi-Hilbertian space are developed. In particular, we analyze the relationship between these operators and different notions of pseudoinverses in semi-Hilbertian spaces. Finally, we apply the results obtained to describe the set of weighted projections into closed subspaces.
Fil: Fongi, Guillermina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
Fil: Gonzalez, Maria Celeste. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
description In this article the concepts of partial isometries, normal partial isometries and generalized projections in the context of operators defined on a semi-Hilbertian space are developed. In particular, we analyze the relationship between these operators and different notions of pseudoinverses in semi-Hilbertian spaces. Finally, we apply the results obtained to describe the set of weighted projections into closed subspaces.
publishDate 2016
dc.date.none.fl_str_mv 2016-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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://hdl.handle.net/11336/38614
Fongi, Guillermina; Gonzalez, Maria Celeste; Partial isometries and pseudoinverses in semi-Hilbertian spaces; Elsevier Science Inc; Linear Algebra and its Applications; 495; 4-2016; 324-343
0024-3795
CONICET Digital
CONICET
url http://hdl.handle.net/11336/38614
identifier_str_mv Fongi, Guillermina; Gonzalez, Maria Celeste; Partial isometries and pseudoinverses in semi-Hilbertian spaces; Elsevier Science Inc; Linear Algebra and its Applications; 495; 4-2016; 324-343
0024-3795
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S002437951600029X
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.laa.2016.01.026
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science Inc
publisher.none.fl_str_mv Elsevier Science Inc
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1846082919874953216
score 13.22299

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