Normal projections in Krein spaces

Given a complex Krein space H with fundamental symmetry J, the aim of this note is to characterize the set of J-normal projections Q={Q∈L(H):Q2=QandQ#Q=QQ#}. The ranges of the projections in QQ are exactly those subspaces of HH which are pseudo-regular. For a fixed pseudo-regular subspace S ,...

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Autores principales: Maestripieri, Alejandra Laura, Martínez Pería, Francisco Dardo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2013
Materias:
Matemática
Normal operator
Projection
Krein space
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/97685
https://ri.conicet.gov.ar/11336/12167
http://link.springer.com/article/10.1007/s00020-013-2063-3
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-97685
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
spellingShingle Matemática
Normal operator
Projection
Krein space
Maestripieri, Alejandra Laura
Martínez Pería, Francisco Dardo
Normal projections in Krein spaces
topic_facet Matemática
Normal operator
Projection
Krein space
description Given a complex Krein space H with fundamental symmetry J, the aim of this note is to characterize the set of J-normal projections Q={Q∈L(H):Q2=QandQ#Q=QQ#}. The ranges of the projections in QQ are exactly those subspaces of HH which are pseudo-regular. For a fixed pseudo-regular subspace S , there are infinitely many J-normal projections onto it, unless SS is regular. Therefore, most of the material herein is devoted to parametrizing the set of J-normal projections onto a fixed pseudo-regular subspace S.
format Articulo
Preprint
author Maestripieri, Alejandra Laura
Martínez Pería, Francisco Dardo
author_facet Maestripieri, Alejandra Laura
Martínez Pería, Francisco Dardo
author_sort Maestripieri, Alejandra Laura
title Normal projections in Krein spaces
title_short Normal projections in Krein spaces
title_full Normal projections in Krein spaces
title_fullStr Normal projections in Krein spaces
title_full_unstemmed Normal projections in Krein spaces
title_sort normal projections in krein spaces
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/97685
https://ri.conicet.gov.ar/11336/12167
http://link.springer.com/article/10.1007/s00020-013-2063-3
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AT martinezperiafranciscodardo normalprojectionsinkreinspaces
bdutipo_str Repositorios
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