Abstract splines in Krein spaces

dc.creator	Giribet, Juan Ignacio
dc.creator	Maestripieri, Alejandra Laura
dc.creator	Martínez Pería, Francisco Dardo
dc.date	2010
dc.date	2019-10-01T17:35:03Z
dc.identifier	http://sedici.unlp.edu.ar/handle/10915/82428
dc.identifier	issn:0022-247X
dc.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}.
dc.description	Facultad de Ciencias Exactas
dc.format	application/pdf
dc.format	423-436
dc.language	en
dc.rights	http://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rights	Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.subject	Matemática
dc.subject	Abstract splines
dc.subject	Krein spaces
dc.subject	Oblique projections
dc.title	Abstract splines in Krein spaces
dc.type	Articulo
dc.type	Articulo