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...

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Autores principales: Giribet, J.I., Maestripieri, A., Pería, F.M.
Formato: JOUR
Materias:
Abstract splines
Krein spaces
Oblique projections
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0022247X_v369_n1_p423_Giribet
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_0022247X_v369_n1_p423_Giribet
record_format dspace
spelling todo:paper_0022247X_v369_n1_p423_Giribet2023-10-03T14:29:15Z Abstract splines in Krein spaces Giribet, J.I. Maestripieri, A. Pería, F.M. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Giribet, J.I.
Maestripieri, A.
Pería, F.M.
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.
format JOUR
author Giribet, J.I.
Maestripieri, A.
Pería, F.M.
author_facet Giribet, J.I.
Maestripieri, A.
Pería, F.M.
author_sort Giribet, J.I.
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
url http://hdl.handle.net/20.500.12110/paper_0022247X_v369_n1_p423_Giribet
work_keys_str_mv AT giribetji abstractsplinesinkreinspaces
AT maestripieria abstractsplinesinkreinspaces
AT periafm abstractsplinesinkreinspaces
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