Geodesic
Weighted projections into closed subspaces
G. Corach1 ; G. Fongi2 ; A. Maestripieri1
1Departamento de Matemática, FI-UBA and Instituto Argentino de Matemática Buenos Aires, Argentina
2Instituto Argentino de Matemática Buenos Aires, Argentina
Studia Mathematica, Tome 216 (2013) no. 2, pp. 131-148
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study $A$-projections, i.e. operators on a Hilbert space $\mathcal {H}$ which act as projections when a seminorm is considered in $\mathcal {H}$. 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 $\mathcal {H}$. We also study the relationship between weighted least squares problems and compatibility.
DOI : 10.4064/sm216-2-3
Keywords: study a projections operators hilbert space mathcal which act projections seminorm considered mathcal a projections introduced mitra rao finite dimensional spaces relate concept theory compatibility between positive operators closed subspaces mathcal study relationship between weighted least squares problems compatibility

G. Corach  1   ; G. Fongi  2   ; A. Maestripieri  1

1 Departamento de Matemática, FI-UBA and Instituto Argentino de Matemática Buenos Aires, Argentina
2 Instituto Argentino de Matemática Buenos Aires, Argentina 
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G. Corach; G. Fongi; A. Maestripieri. Weighted projections into closed subspaces. Studia Mathematica, Tome 216 (2013) no. 2, pp. 131-148. doi: 10.4064/sm216-2-3

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