Weighted projections into closed subspaces

• Autorzy: G. Corach , G. Fongi , A. Maestripieri
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 216
• Numer: 2
• Strony: 131-148

Daty

wydano

2013

Twórcy

autor

G. Corach

• Departamento de Matemática, FI-UBA, Buenos Aires, Argentina
• Instituto Argentino de Matemática, Buenos Aires, Argentina

autor

G. Fongi

• Instituto Argentino de Matemática, Buenos Aires, Argentina

autor

A. Maestripieri

• Departamento de Matemática, FI-UBA, Buenos Aires, Argentina
• Instituto Argentino de Matemática, Buenos Aires, Argentina

Identyfikatory

DOI

10.4064/sm216-2-3