Artículo
Positive decompositions of selfadjoint operators
Fecha de publicación:
05/2010
Editorial:
Birkhauser Verlag Ag
Revista:
Integral Equations and Operator Theory
ISSN:
0378-620X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Given a linear bounded selfadjoint operator a on a complex separable Hilbert space H, we study the decompositions of a as a difference of two positive operators whose ranges satisfy an angle condition. These decompositions are related to the canonical decompositions of the indefinite metric space (H, 〈, 〉a), associated to a. As an application, we characterize the orbit of congruence of a in terms of its positive decompositions.
Palabras clave:
CONGRUENCE OF OPERATORS
,
INDEFINITE METRIC SPACES
,
SELFADJOINT 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
Fongi, Guillermina; Maestripieri, Alejandra Laura; Positive decompositions of selfadjoint operators; Birkhauser Verlag Ag; Integral Equations and Operator Theory; 67; 1; 5-2010; 109-121
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