Schur Complements in Krein Spaces

The aim of this work is to generalize the notions of Schur complements and shorted operators to Krein spaces. Given a (bounded) J-selfadjoint operator A (with the unique factorization property) acting on a Krein space H and a suitable closed subspace S of H, the Schur complement A/[S] of A to S is d...

Descripción completa

Detalles Bibliográficos
Autores principales: Maestripieri, Alejandra Laura, Martínez Pería, Francisco Dardo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2007
Materias:
Matemática
Combinatorics
Space (mathematics)
Algebra
Unique factorization domain
Schur complement
Subspace topology
Mathematics
Bounded function
Hilbert space
Operator (computer programming)
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/127101
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-127101
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Combinatorics
Space (mathematics)
Algebra
Unique factorization domain
Schur complement
Subspace topology
Mathematics
Bounded function
Hilbert space
Operator (computer programming)
spellingShingle Matemática
Combinatorics
Space (mathematics)
Algebra
Unique factorization domain
Schur complement
Subspace topology
Mathematics
Bounded function
Hilbert space
Operator (computer programming)
Maestripieri, Alejandra Laura
Martínez Pería, Francisco Dardo
Schur Complements in Krein Spaces
topic_facet Matemática
Combinatorics
Space (mathematics)
Algebra
Unique factorization domain
Schur complement
Subspace topology
Mathematics
Bounded function
Hilbert space
Operator (computer programming)
description The aim of this work is to generalize the notions of Schur complements and shorted operators to Krein spaces. Given a (bounded) J-selfadjoint operator A (with the unique factorization property) acting on a Krein space H and a suitable closed subspace S of H, the Schur complement A/[S] of A to S is defined. The basic properties of A/[S] are developed and different characterizations are given, most of them resembling those of the shorted of (bounded) positive operators on a Hilbert space
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 Schur Complements in Krein Spaces
title_short Schur Complements in Krein Spaces
title_full Schur Complements in Krein Spaces
title_fullStr Schur Complements in Krein Spaces
title_full_unstemmed Schur Complements in Krein Spaces
title_sort schur complements in krein spaces
publishDate 2007
url http://sedici.unlp.edu.ar/handle/10915/127101
work_keys_str_mv AT maestripierialejandralaura schurcomplementsinkreinspaces
AT martinezperiafranciscodardo schurcomplementsinkreinspaces
bdutipo_str Repositorios
_version_ 1764820451282911233

Ejemplares similares