Abstract splines in Krein spaces
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 pr...
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Autores principales: | , , |
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Formato: | Articulo |
Lenguaje: | Inglés |
Publicado: |
2010
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Materias: | |
Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/82428 |
Aporte de: |
id |
I19-R120-10915-82428 |
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record_format |
dspace |
institution |
Universidad Nacional de La Plata |
institution_str |
I-19 |
repository_str |
R-120 |
collection |
SEDICI (UNLP) |
language |
Inglés |
topic |
Matemática Abstract splines Krein spaces Oblique projections |
spellingShingle |
Matemática Abstract splines Krein spaces Oblique projections Giribet, Juan Ignacio Maestripieri, Alejandra Laura Martínez Pería, Francisco Dardo Abstract splines in Krein spaces |
topic_facet |
Matemática Abstract splines Krein spaces Oblique projections |
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}. |
format |
Articulo Articulo |
author |
Giribet, Juan Ignacio Maestripieri, Alejandra Laura Martínez Pería, Francisco Dardo |
author_facet |
Giribet, Juan Ignacio Maestripieri, Alejandra Laura Martínez Pería, Francisco Dardo |
author_sort |
Giribet, Juan Ignacio |
title |
Abstract splines in Krein spaces |
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 |
publishDate |
2010 |
url |
http://sedici.unlp.edu.ar/handle/10915/82428 |
work_keys_str_mv |
AT giribetjuanignacio abstractsplinesinkreinspaces AT maestripierialejandralaura abstractsplinesinkreinspaces AT martinezperiafranciscodardo abstractsplinesinkreinspaces |
bdutipo_str |
Repositorios |
_version_ |
1764820488271429634 |