IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Procrustes problems
Autor/es:
A. MAESTRIPIERI, J. GIRIBET, M. CONTINO
Lugar:
Coimbra
Reunión:
Workshop; WOTCA2016; 2016
Institución organizadora:
Department of Mathematics of the University of Coimbra
Resumen:
Let H be a Hilbert space, L(H) the algebra of bounded linear operators on H and W 2 L(H) a positiveoperator such that W1=2 is in the p-Schatten class, for some 1 p < 1: Given A 2 L(H) with closedrange and B 2 L(H); we study the following weighted approximation problem: analize the existence ofminX2L(H)kAX Bkp;W ;where kXkp;W = kW1=2Xkp:In this paper we prove that the existence of this minimum is equivalent to a compatibility conditionbetween R(B) and R(A) involving the weight W; and we characterize the operators which minimize thisproblem as W-inverses of A in R(B):
