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
Descripción
Sumario: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}.

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