Positive projections of symmetric matrices and Jordan algebras

Bent Fuglede; Søren Tolver Jensen

doi:10.1016/j.exmath.2013.01.005

Positive projections of symmetric matrices and Jordan algebras

Bent Fuglede, Søren Tolver Jensen

Department of Mathematical Sciences

Abstract

An elementary proof is given that the projection from the space of all symmetric p×p matrices onto a linear subspace is positive if and only if the subspace is a Jordan algebra. This solves a problem in a statistical model.

Original language	English
Journal	Expositiones Mathematicae
Volume	31
Issue number	3
Pages (from-to)	295-303
ISSN	0723-0869
DOIs	https://doi.org/10.1016/j.exmath.2013.01.005
Publication status	Published - 2013

Access to Document

10.1016/j.exmath.2013.01.005

Cite this

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