Shorting selfadjoint operators in Hilbert spaces

Given a closed subspace S of a Hilbert space H and a (bounded) selfadjoint operator B acting on H, a min-max representation of the shorted operator (or Schur complement) of B to S is obtained under compatibility hypotheses. Also, an extension of Pekarev's formula is given.

Detalles Bibliográficos
Autores principales: Giribet, Juan Ignacio, Maestripieri, Alejandra Laura, Martínez Pería, Francisco Dardo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2008
Materias:
Ciencias Exactas
Matemática
Schur complement
Selfadjoint operator
Shorted operator
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/84288
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-84288
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Matemática
Schur complement
Selfadjoint operator
Shorted operator
spellingShingle Ciencias Exactas
Matemática
Schur complement
Selfadjoint operator
Shorted operator
Giribet, Juan Ignacio
Maestripieri, Alejandra Laura
Martínez Pería, Francisco Dardo
Shorting selfadjoint operators in Hilbert spaces
topic_facet Ciencias Exactas
Matemática
Schur complement
Selfadjoint operator
Shorted operator
description Given a closed subspace S of a Hilbert space H and a (bounded) selfadjoint operator B acting on H, a min-max representation of the shorted operator (or Schur complement) of B to S is obtained under compatibility hypotheses. Also, an extension of Pekarev's formula is given.
format Articulo
Articulo
author Giribet, Juan Ignacio
Maestripieri, Alejandra Laura
Martínez Pería, Francisco Dardo
author_facet Giribet, Juan Ignacio
Maestripieri, Alejandra Laura
Martínez Pería, Francisco Dardo
author_sort Giribet, Juan Ignacio
title Shorting selfadjoint operators in Hilbert spaces
title_short Shorting selfadjoint operators in Hilbert spaces
title_full Shorting selfadjoint operators in Hilbert spaces
title_fullStr Shorting selfadjoint operators in Hilbert spaces
title_full_unstemmed Shorting selfadjoint operators in Hilbert spaces
title_sort shorting selfadjoint operators in hilbert spaces
publishDate 2008
url http://sedici.unlp.edu.ar/handle/10915/84288
work_keys_str_mv AT giribetjuanignacio shortingselfadjointoperatorsinhilbertspaces
AT maestripierialejandralaura shortingselfadjointoperatorsinhilbertspaces
AT martinezperiafranciscodardo shortingselfadjointoperatorsinhilbertspaces
bdutipo_str Repositorios
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