On the geometry of normal projections in Krein spaces

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 compo...

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Detalles Bibliográficos
Autores principales: Chiumiento, Eduardo Hernán, Maestripieri, Alejandra Laura, Martínez Pería, Francisco Dardo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2015
Materias:
Matemática
Normal operator
Projection
Krein space
Submanifold
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/101041
https://ri.conicet.gov.ar/11336/17759
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-101041
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Normal operator
Projection
Krein space
Submanifold
spellingShingle Matemática
Normal operator
Projection
Krein space
Submanifold
Chiumiento, Eduardo Hernán
Maestripieri, Alejandra Laura
Martínez Pería, Francisco Dardo
On the geometry of normal projections in Krein spaces
topic_facet Matemática
Normal operator
Projection
Krein space
Submanifold
description 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.
format Articulo
Preprint
author Chiumiento, Eduardo Hernán
Maestripieri, Alejandra Laura
Martínez Pería, Francisco Dardo
author_facet Chiumiento, Eduardo Hernán
Maestripieri, Alejandra Laura
Martínez Pería, Francisco Dardo
author_sort Chiumiento, Eduardo Hernán
title On the geometry of normal projections in Krein spaces
title_short On the geometry of normal projections in Krein spaces
title_full On the geometry of normal projections in Krein spaces
title_fullStr On the geometry of normal projections in Krein spaces
title_full_unstemmed On the geometry of normal projections in Krein spaces
title_sort on the geometry of normal projections in krein spaces
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/101041
https://ri.conicet.gov.ar/11336/17759
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AT maestripierialejandralaura onthegeometryofnormalprojectionsinkreinspaces
AT martinezperiafranciscodardo onthegeometryofnormalprojectionsinkreinspaces
bdutipo_str Repositorios
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