Abstract splines in Krein spaces
- Autores
- Giribet, Juan Ignacio; Maestripieri, Alejandra Laura; Martínez Pería, Francisco Dardo
- Año de publicación
- 2010
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We present generalizations to Krein spaces of the abstract interpolation and smoothing problems proposed by Atteia in Hilbert spaces: given a Krein space K and Hilbert spaces H and E (bounded) surjective operators T:H→K and VH→E, ρ>0 and a fixed z0∈E, we study the existence of solutions of the problems argmin{[Tx,Tx]K: Vx=z0} and argmin{[Tx,Tx]K+ρ{norm of matrix}Vx-z0{norm of matrix}E2x∈H}.
Facultad de Ciencias Exactas - Materia
-
Matemática
Abstract splines
Krein spaces
Oblique projections - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/82428
Ver los metadatos del registro completo
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Abstract splines in Krein spacesGiribet, Juan IgnacioMaestripieri, Alejandra LauraMartínez Pería, Francisco DardoMatemáticaAbstract splinesKrein spacesOblique projectionsWe present generalizations to Krein spaces of the abstract interpolation and smoothing problems proposed by Atteia in Hilbert spaces: given a Krein space K and Hilbert spaces H and E (bounded) surjective operators T:H→K and VH→E, ρ>0 and a fixed z0∈E, we study the existence of solutions of the problems argmin{[Tx,Tx]K: Vx=z0} and argmin{[Tx,Tx]K+ρ{norm of matrix}Vx-z0{norm of matrix}E2x∈H}.Facultad de Ciencias Exactas2010info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf423-436http://sedici.unlp.edu.ar/handle/10915/82428enginfo:eu-repo/semantics/altIdentifier/issn/0022-247Xinfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2010.03.016info: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:UNLP2025-09-03T10:47:46Zoai:sedici.unlp.edu.ar:10915/82428Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 10:47:46.479SEDICI (UNLP) - Universidad Nacional de La Platafalse |
dc.title.none.fl_str_mv |
Abstract splines in Krein spaces |
title |
Abstract splines in Krein spaces |
spellingShingle |
Abstract splines in Krein spaces Giribet, Juan Ignacio Matemática Abstract splines Krein spaces Oblique projections |
title_short |
Abstract splines in Krein spaces |
title_full |
Abstract splines in Krein spaces |
title_fullStr |
Abstract splines in Krein spaces |
title_full_unstemmed |
Abstract splines in Krein spaces |
title_sort |
Abstract splines in Krein spaces |
dc.creator.none.fl_str_mv |
Giribet, Juan Ignacio Maestripieri, Alejandra Laura Martínez Pería, Francisco Dardo |
author |
Giribet, Juan Ignacio |
author_facet |
Giribet, Juan Ignacio Maestripieri, Alejandra Laura Martínez Pería, Francisco Dardo |
author_role |
author |
author2 |
Maestripieri, Alejandra Laura Martínez Pería, Francisco Dardo |
author2_role |
author author |
dc.subject.none.fl_str_mv |
Matemática Abstract splines Krein spaces Oblique projections |
topic |
Matemática Abstract splines Krein spaces Oblique projections |
dc.description.none.fl_txt_mv |
We present generalizations to Krein spaces of the abstract interpolation and smoothing problems proposed by Atteia in Hilbert spaces: given a Krein space K and Hilbert spaces H and E (bounded) surjective operators T:H→K and VH→E, ρ>0 and a fixed z0∈E, we study the existence of solutions of the problems argmin{[Tx,Tx]K: Vx=z0} and argmin{[Tx,Tx]K+ρ{norm of matrix}Vx-z0{norm of matrix}E2x∈H}. Facultad de Ciencias Exactas |
description |
We present generalizations to Krein spaces of the abstract interpolation and smoothing problems proposed by Atteia in Hilbert spaces: given a Krein space K and Hilbert spaces H and E (bounded) surjective operators T:H→K and VH→E, ρ>0 and a fixed z0∈E, we study the existence of solutions of the problems argmin{[Tx,Tx]K: Vx=z0} and argmin{[Tx,Tx]K+ρ{norm of matrix}Vx-z0{norm of matrix}E2x∈H}. |
publishDate |
2010 |
dc.date.none.fl_str_mv |
2010 |
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/10915/82428 |
url |
http://sedici.unlp.edu.ar/handle/10915/82428 |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/issn/0022-247X info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2010.03.016 |
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 423-436 |
dc.source.none.fl_str_mv |
reponame:SEDICI (UNLP) instname:Universidad Nacional de La Plata instacron:UNLP |
reponame_str |
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SEDICI (UNLP) |
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Universidad Nacional de La Plata |
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UNLP |
repository.name.fl_str_mv |
SEDICI (UNLP) - Universidad Nacional de La Plata |
repository.mail.fl_str_mv |
alira@sedici.unlp.edu.ar |
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score |
13.13397 |