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 th...
Guardado en:
Publicado: |
2010
|
---|---|
Materias: | |
Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v369_n1_p423_Giribet http://hdl.handle.net/20.500.12110/paper_0022247X_v369_n1_p423_Giribet |
Aporte de: |
id |
paper:paper_0022247X_v369_n1_p423_Giribet |
---|---|
record_format |
dspace |
spelling |
paper:paper_0022247X_v369_n1_p423_Giribet2023-06-08T14:47:53Z Abstract splines in Krein spaces Abstract splines Krein spaces Oblique projections 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}. © 2010 Elsevier Inc. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v369_n1_p423_Giribet http://hdl.handle.net/20.500.12110/paper_0022247X_v369_n1_p423_Giribet |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Abstract splines Krein spaces Oblique projections |
spellingShingle |
Abstract splines Krein spaces Oblique projections Abstract splines in Krein spaces |
topic_facet |
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}. © 2010 Elsevier Inc. |
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 |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v369_n1_p423_Giribet http://hdl.handle.net/20.500.12110/paper_0022247X_v369_n1_p423_Giribet |
_version_ |
1768546708165230592 |