Artículo
Weighted Procrustes problems
Fecha de publicación:
01/2017
Editorial:
Academic Press Inc Elsevier Science
Revista:
Journal of Mathematical Analysis and Applications
ISSN:
0022-247X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Let H be a Hilbert space, L(H) the algebra of bounded linear operators on H and W∈L(H) a positive operator such that W1/2 is in the p-Schatten class, for some 1≤p<∞. Given A∈L(H) with closed range and B∈L(H), we study the following weighted approximation problem: analyze the existence ofminX∈L(H)‖AX−B‖p,W where ‖X‖p,W=‖W1/2X‖p. In this paper we prove that the existence of this minimum is equivalent to a compatibility condition between R(B) and R(A) involving the weight W, and we characterize the operators which minimize this problem as W-inverses of A in R(B).
Palabras clave:
Oblique Projections
,
Operator Approximation
,
Schatten P Classes
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Identificadores
Colecciones
Articulos(IAM)
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Citación
Contino, Maximiliano; Giribet, Juan Ignacio; Maestripieri, Alejandra Laura; Weighted Procrustes problems; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 445; 1; 1-2017; 443-458
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