Weighted projections into closed subspaces
Functional Analysis
2013-05-29 v1 Operator Algebras
Abstract
In this paper we study -projections, i.e. operators of a Hilbert space which act as projections when a seminorm is considered in . -projections were introduced by Mitra and Rao \cite{[MitRao74]} for finite dimensional spaces. We relate this concept to the theory of compatibility between positive operators and closed subspaces of . We also study the relationship between weighted least squares problems and compatibility.
Cite
@article{arxiv.1305.6357,
title = {Weighted projections into closed subspaces},
author = {Gustavo Corach and Guillermina Fongi and Alejandra Maestripieri},
journal= {arXiv preprint arXiv:1305.6357},
year = {2013}
}