IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Abstract splines in Krein spaces
Autor/es:
J. I. GIRIBET; A. MAESTRIPIERI; F. MARTÍNEZ PERÍA
Lugar:
Guanajuato, México
Reunión:
Workshop; International Workshop con Operator Theory and Applications; 2009
Institución organizadora:
IWOTA - CIMAT
Resumen:
We present generalizations to Krein spaces of the abstract interpolation and smoothing problems proposed by Atteia in Hilbert spaces: given $HH$, $KK$ Krein spaces and $EE$ a Hilbert space, (bounded) surjective operators $T: HH a KK$ and $V: HH a EE$, $ ho>0$ and fixed $z_0in EE$, we study the existence of solutions of the problems $argmin {K{Tx}{Tx}_KK : , Vx =z_0}$ and $argminleft{ K{Tx}{Tx}_KK + ho |Vx-z_0|^2_EE : , xinHH ight}$.
