Artículo
On the geometry of normal projections in Krein spaces
Fecha de publicación:
07/2015
Editorial:
Theta Foundation
Revista:
Journal Of Operator Theory
ISSN:
1841-7744
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Let H be a Krein space with fundamental symmetry J. Along this paper, the geometric structure of the set of J-normal projections Q is studied. The group of J-unitary operators UJ naturally acts on Q. Each orbit of this action turns out to be an analytic homogeneous space of UJ, and a connected component of Q. The relationship between Q and the set E of J-selfadjoint projections is analized: both sets are analytic submanifolds of L(H) and there is a natural real analytic submersion from Q onto E, namely Q↦QQ#. The range of a J-normal projection is always a pseudo-regular subspace. Then, for a fixed pseudo-regular subspace S, it is proved that the set of J-normal projections onto S is a covering space of the subset of J-normal projections onto S with fixed regular part.
Palabras clave:
Normal Operator
,
Projection
,
Krein Space
,
Submanifold
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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
Chiumiento, Eduardo Hernan; Maestripieri, Alejandra Laura; Martinez Peria, Francisco Dardo; On the geometry of normal projections in Krein spaces; Theta Foundation; Journal Of Operator Theory; 74; 1; 7-2015; 75-99
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