Artículo
Shorted operators and minus order
Fecha de publicación:
11/2019
Editorial:
Taylor & Francis Ltd
Revista:
Linear And Multilinear Algebra
ISSN:
0308-1087
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. Given a closed subspace S of H, we characterize the shorted operator W/S of W to S as the maximum and as the infimum of certain sets, for the minus order − ≤. Also, given A ∈ L(H) with closed range, we study the following operator approximation problem considering the minus order: min− ≤ {(AX − I) ∗W(AX − I) : X ∈ L(H), subject to N(A ∗W) ⊆ N(X)}. We show that, under certain conditions, the shorted operator of W/R(A) is the minimum of this problem and we characterize the set of solutions.
Palabras clave:
06A06
,
47A05
,
47A58
,
47A64
,
MINUS ORDER
,
OBLIQUE PROJECTIONS
,
SHORTED OPERATORS
Archivos asociados
Licencia
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; Shorted operators and minus order; Taylor & Francis Ltd; Linear And Multilinear Algebra; 67; 11; 11-2019; 2173-2190
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