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Abstract:

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.

Registro:

Documento: Artículo
Título:Weighted projections into closed subspaces
Autor:Corach, G.; Fongi, G.; Maestripieri, A.
Filiación:Departamento de Matemàtica, FI-UBA, Instituto Argentino de Matemàtica, Buenos Aires, Argentina
Instituto Argentino de Matemàtica, Buenos Aires, Argentina
Palabras clave:Compatibility; Projections under seminorm; Weighted least squares
Año:2013
Volumen:216
Número:2
Página de inicio:131
Página de fin:148
DOI: http://dx.doi.org/10.4064/sm216-2-3
Título revista:Studia Mathematica
Título revista abreviado:Stud. Math.
ISSN:00393223
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v216_n2_p131_Corach

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Citas:

---------- APA ----------
Corach, G., Fongi, G. & Maestripieri, A. (2013) . Weighted projections into closed subspaces. Studia Mathematica, 216(2), 131-148.
http://dx.doi.org/10.4064/sm216-2-3
---------- CHICAGO ----------
Corach, G., Fongi, G., Maestripieri, A. "Weighted projections into closed subspaces" . Studia Mathematica 216, no. 2 (2013) : 131-148.
http://dx.doi.org/10.4064/sm216-2-3
---------- MLA ----------
Corach, G., Fongi, G., Maestripieri, A. "Weighted projections into closed subspaces" . Studia Mathematica, vol. 216, no. 2, 2013, pp. 131-148.
http://dx.doi.org/10.4064/sm216-2-3
---------- VANCOUVER ----------
Corach, G., Fongi, G., Maestripieri, A. Weighted projections into closed subspaces. Stud. Math. 2013;216(2):131-148.
http://dx.doi.org/10.4064/sm216-2-3