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Weighted projections into closed subspaces

Tom 216 / 2013

Studia Mathematica 216 (2013), 131-148 MSC: Primary 47A07; Secondary 47A58. DOI: 10.4064/sm216-2-3

Streszczenie

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.

Autorzy

• G. CorachDepartamento de Matemática, FI-UBA
and
Instituto Argentino de Matemática
Buenos Aires, Argentina
e-mail
• G. FongiInstituto Argentino de Matemática
Buenos Aires, Argentina
e-mail
• A. MaestripieriDepartamento de Matemática, FI-UBA
and
Instituto Argentino de Matemática
Buenos Aires, Argentina
e-mail

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