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. © 2007 Elsevier Inc....

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Guardado en:
Detalles Bibliográficos
Publicado: 2008
Materias:
Schur complement
Selfadjoint operator
Shorted operator
Mathematical operators
Numerical methods
Operations research
Hilbert spaces
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v428_n8-9_p1899_Giribet
http://hdl.handle.net/20.500.12110/paper_00243795_v428_n8-9_p1899_Giribet
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00243795_v428_n8-9_p1899_Giribet
record_format dspace
spelling paper:paper_00243795_v428_n8-9_p1899_Giribet2023-06-08T14:52:06Z Shorting selfadjoint operators in Hilbert spaces Schur complement Selfadjoint operator Shorted operator Mathematical operators Numerical methods Operations research Schur complement Selfadjoint operator Shorted operator 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. © 2007 Elsevier Inc. All rights reserved. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v428_n8-9_p1899_Giribet http://hdl.handle.net/20.500.12110/paper_00243795_v428_n8-9_p1899_Giribet
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Schur complement
Selfadjoint operator
Shorted operator
Mathematical operators
Numerical methods
Operations research
Schur complement
Selfadjoint operator
Shorted operator
Hilbert spaces
spellingShingle Schur complement
Selfadjoint operator
Shorted operator
Mathematical operators
Numerical methods
Operations research
Schur complement
Selfadjoint operator
Shorted operator
Hilbert spaces
Shorting selfadjoint operators in Hilbert spaces
topic_facet Schur complement
Selfadjoint operator
Shorted operator
Mathematical operators
Numerical methods
Operations research
Schur complement
Selfadjoint operator
Shorted operator
Hilbert spaces
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. © 2007 Elsevier Inc. All rights reserved.
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v428_n8-9_p1899_Giribet
http://hdl.handle.net/20.500.12110/paper_00243795_v428_n8-9_p1899_Giribet
_version_ 1768544072672215040

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