Weighted projections into closed subspaces

We study A-projections, i.e. operators on a Hilbert space H which act as projections when a seminorm is considered in H. The A-projections were introduced by Mitra and Rao (1974) for finite-dimensional spaces. We relate this concept to the theory of compatibility between positive operators and close...

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Autores principales: Corach, G., Fongi, G., Maestripieri, A.
Formato: JOUR
Materias:
Compatibility
Projections under seminorm
Weighted least squares
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00393223_v216_n2_p131_Corach
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00393223_v216_n2_p131_Corach
record_format dspace
spelling todo:paper_00393223_v216_n2_p131_Corach2023-10-03T14:49:47Z Weighted projections into closed subspaces Corach, G. Fongi, G. Maestripieri, A. Compatibility Projections under seminorm Weighted least squares We study A-projections, i.e. operators on a Hilbert space H which act as projections when a seminorm is considered in H. The A-projections were introduced by Mitra and Rao (1974) for finite-dimensional spaces. We relate this concept to the theory of compatibility between positive operators and closed subspaces of H. We also study the relationship between weighted least squares problems and compatibility. © Instytut Matematyczny PAN, 2013. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00393223_v216_n2_p131_Corach
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Compatibility
Projections under seminorm
Weighted least squares
spellingShingle Compatibility
Projections under seminorm
Weighted least squares
Corach, G.
Fongi, G.
Maestripieri, A.
Weighted projections into closed subspaces
topic_facet Compatibility
Projections under seminorm
Weighted least squares
description We study A-projections, i.e. operators on a Hilbert space H which act as projections when a seminorm is considered in H. The A-projections were introduced by Mitra and Rao (1974) for finite-dimensional spaces. We relate this concept to the theory of compatibility between positive operators and closed subspaces of H. We also study the relationship between weighted least squares problems and compatibility. © Instytut Matematyczny PAN, 2013.
format JOUR
author Corach, G.
Fongi, G.
Maestripieri, A.
author_facet Corach, G.
Fongi, G.
Maestripieri, A.
author_sort Corach, G.
title Weighted projections into closed subspaces
title_short Weighted projections into closed subspaces
title_full Weighted projections into closed subspaces
title_fullStr Weighted projections into closed subspaces
title_full_unstemmed Weighted projections into closed subspaces
title_sort weighted projections into closed subspaces
url http://hdl.handle.net/20.500.12110/paper_00393223_v216_n2_p131_Corach
work_keys_str_mv AT corachg weightedprojectionsintoclosedsubspaces
AT fongig weightedprojectionsintoclosedsubspaces
AT maestripieria weightedprojectionsintoclosedsubspaces
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