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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Detalles Bibliográficos
Autores principales: Giribet, Juan Ignacio, Maestripieri, Alejandra Laura, Martínez Pería, Francisco Dardo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2010
Materias:
Matemática
Abstract splines
Krein spaces
Oblique projections
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/82428
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-82428
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
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