Optimal inverses and abstract splines

Corach, Gustavo; Fongi, Guillermina; Maestripieri, Alejandra Laura

Artículos de revistas

Fecha

2016-05

Registro en:

Corach, Gustavo; Fongi, Guillermina; Maestripieri, Alejandra Laura; Optimal inverses and abstract splines; Elsevier Science Inc; Linear Algebra and its Applications; 496; 5-2016; 182-192

0024-3795

http://hdl.handle.net/11336/38621

CONICET Digital

CONICET

http://repositorioslatinoamericanos.uchile.cl/handle/2250/1853680

Autor

Corach, Gustavo

Fongi, Guillermina

Maestripieri, Alejandra Laura

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

We extend the notion of optimal inverse introduced by S.K. Mitra for matrices, to operators in Hilbert spaces. We obtain necessary and sufficient conditions for the existence of these inverses for a closed range operator and apply these results to characterize the solutions of abstract smoothing spline problems.

Materias

ABSTRACT SPLINE PROBLEMS

COMPATIBILITY

OPTIMAL INVERSES

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