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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Publicado: 2013
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v216_n2_p131_Corach
http://hdl.handle.net/20.500.12110/paper_00393223_v216_n2_p131_Corach
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spelling paper:paper_00393223_v216_n2_p131_Corach2023-06-08T15:03:33Z Weighted projections into closed subspaces 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. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v216_n2_p131_Corach 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
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.
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
publishDate 2013
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v216_n2_p131_Corach
http://hdl.handle.net/20.500.12110/paper_00393223_v216_n2_p131_Corach
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