Artículo

Giribet, J.I.; Maestripieri, A.; Pería, F.M. "Abstract splines in Krein spaces" (2010) Journal of Mathematical Analysis and Applications. 369(1):423-436
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Abstract:

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.

Registro:

Documento: Artículo
Título:Abstract splines in Krein spaces
Autor:Giribet, J.I.; Maestripieri, A.; Pería, F.M.
Filiación:Departamento de Matemática, FI-UBA, Paseo Colón 850, (1063) Buenos Aires, Argentina
Departamento de Matemática, FCE-UNLP, CC 172, (1900) La Plata, Argentina
Instituto Argentino de Matemática Alberto Calderón - CONICET, Saavedra 15, Piso 3, (1083) Buenos Aires, Argentina
Palabras clave:Abstract splines; Krein spaces; Oblique projections
Año:2010
Volumen:369
Número:1
Página de inicio:423
Página de fin:436
DOI: http://dx.doi.org/10.1016/j.jmaa.2010.03.016
Título revista:Journal of Mathematical Analysis and Applications
Título revista abreviado:J. Math. Anal. Appl.
ISSN:0022247X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v369_n1_p423_Giribet

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Citas:

---------- APA ----------
Giribet, J.I., Maestripieri, A. & Pería, F.M. (2010) . Abstract splines in Krein spaces. Journal of Mathematical Analysis and Applications, 369(1), 423-436.
http://dx.doi.org/10.1016/j.jmaa.2010.03.016
---------- CHICAGO ----------
Giribet, J.I., Maestripieri, A., Pería, F.M. "Abstract splines in Krein spaces" . Journal of Mathematical Analysis and Applications 369, no. 1 (2010) : 423-436.
http://dx.doi.org/10.1016/j.jmaa.2010.03.016
---------- MLA ----------
Giribet, J.I., Maestripieri, A., Pería, F.M. "Abstract splines in Krein spaces" . Journal of Mathematical Analysis and Applications, vol. 369, no. 1, 2010, pp. 423-436.
http://dx.doi.org/10.1016/j.jmaa.2010.03.016
---------- VANCOUVER ----------
Giribet, J.I., Maestripieri, A., Pería, F.M. Abstract splines in Krein spaces. J. Math. Anal. Appl. 2010;369(1):423-436.
http://dx.doi.org/10.1016/j.jmaa.2010.03.016