Weighted projections into closed subspaces
- Autores
- Corach, Gustavo; Fongi, Guillermina; Maestripieri, Alejandra Laura
- Año de publicación
- 2013
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We study A-projections, i.e. operators on a Hilbert space H which act as projections when a seminorm is considered in H. The A-projections were introduced by Mitra and Rao (1974) for finite-dimensional spaces. We relate this concept to the theory of compatibility between positive operators and closed subspaces of H. We also study the relationship between weighted least squares problems and compatibility.
Fil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina
Fil: Fongi, Guillermina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina
Fil: Maestripieri, Alejandra Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina - Materia
-
PROYECCION
COMPATIBLIDAD
SEMINORMA - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- Atribución-NoComercial-CompartirIgual 2.5 Argentina (CC BY-NC-SA 2.5 AR)
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/3364
Ver los metadatos del registro completo
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Weighted projections into closed subspacesCorach, GustavoFongi, GuillerminaMaestripieri, Alejandra LauraPROYECCIONCOMPATIBLIDADSEMINORMAhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We study A-projections, i.e. operators on a Hilbert space H which act as projections when a seminorm is considered in H. The A-projections were introduced by Mitra and Rao (1974) for finite-dimensional spaces. We relate this concept to the theory of compatibility between positive operators and closed subspaces of H. We also study the relationship between weighted least squares problems and compatibility.Fil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; ArgentinaFil: Fongi, Guillermina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; ArgentinaFil: Maestripieri, Alejandra Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; ArgentinaPolish Acad Sciences Inst Mathematics2013-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/3364Corach, Gustavo; Fongi, Guillermina; Maestripieri, Alejandra Laura; Weighted projections into closed subspaces; Polish Acad Sciences Inst Mathematics; Studia Mathematica; 216; 8-2013; 131-1480039-3223enginfo:eu-repo/semantics/altIdentifier/doi/info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1305.6357info:eu-repo/semantics/altIdentifier/doi/10.4064/sm216-2-3info:eu-repo/semantics/openAccessAtribución-NoComercial-CompartirIgual 2.5 Argentina (CC BY-NC-SA 2.5 AR)https://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:56:08Zoai:ri.conicet.gov.ar:11336/3364instacron: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:34982025-09-29 09:56:09.02CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Weighted projections into closed subspaces |
title |
Weighted projections into closed subspaces |
spellingShingle |
Weighted projections into closed subspaces Corach, Gustavo PROYECCION COMPATIBLIDAD SEMINORMA |
title_short |
Weighted projections into closed subspaces |
title_full |
Weighted projections into closed subspaces |
title_fullStr |
Weighted projections into closed subspaces |
title_full_unstemmed |
Weighted projections into closed subspaces |
title_sort |
Weighted projections into closed subspaces |
dc.creator.none.fl_str_mv |
Corach, Gustavo Fongi, Guillermina Maestripieri, Alejandra Laura |
author |
Corach, Gustavo |
author_facet |
Corach, Gustavo Fongi, Guillermina Maestripieri, Alejandra Laura |
author_role |
author |
author2 |
Fongi, Guillermina Maestripieri, Alejandra Laura |
author2_role |
author author |
dc.subject.none.fl_str_mv |
PROYECCION COMPATIBLIDAD SEMINORMA |
topic |
PROYECCION COMPATIBLIDAD SEMINORMA |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
We study A-projections, i.e. operators on a Hilbert space H which act as projections when a seminorm is considered in H. The A-projections were introduced by Mitra and Rao (1974) for finite-dimensional spaces. We relate this concept to the theory of compatibility between positive operators and closed subspaces of H. We also study the relationship between weighted least squares problems and compatibility. Fil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina Fil: Fongi, Guillermina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina Fil: Maestripieri, Alejandra Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina |
description |
We study A-projections, i.e. operators on a Hilbert space H which act as projections when a seminorm is considered in H. The A-projections were introduced by Mitra and Rao (1974) for finite-dimensional spaces. We relate this concept to the theory of compatibility between positive operators and closed subspaces of H. We also study the relationship between weighted least squares problems and compatibility. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-08 |
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/11336/3364 Corach, Gustavo; Fongi, Guillermina; Maestripieri, Alejandra Laura; Weighted projections into closed subspaces; Polish Acad Sciences Inst Mathematics; Studia Mathematica; 216; 8-2013; 131-148 0039-3223 |
url |
http://hdl.handle.net/11336/3364 |
identifier_str_mv |
Corach, Gustavo; Fongi, Guillermina; Maestripieri, Alejandra Laura; Weighted projections into closed subspaces; Polish Acad Sciences Inst Mathematics; Studia Mathematica; 216; 8-2013; 131-148 0039-3223 |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/ info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1305.6357 info:eu-repo/semantics/altIdentifier/doi/10.4064/sm216-2-3 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess Atribución-NoComercial-CompartirIgual 2.5 Argentina (CC BY-NC-SA 2.5 AR) https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
Atribución-NoComercial-CompartirIgual 2.5 Argentina (CC BY-NC-SA 2.5 AR) https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Polish Acad Sciences Inst Mathematics |
publisher.none.fl_str_mv |
Polish Acad Sciences Inst Mathematics |
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 |
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13.070432 |