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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Detalles Bibliográficos
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
Descripción
Sumario: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.

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