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

Institut for Matematiske Fag

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.

Originalsprog	Engelsk
Tidsskrift	Expositiones Mathematicae
Vol/bind	31
Udgave nummer	3
Sider (fra-til)	295-303
ISSN	0723-0869
DOI	https://doi.org/10.1016/j.exmath.2013.01.005
Status	Udgivet - 2013

Adgang til dokumentet

10.1016/j.exmath.2013.01.005

Citationsformater

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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.",

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