# Midpoints for Thompson's metric on symmetric cones

Lemmens, Bas, Roelands, Mark (2016) Midpoints for Thompson's metric on symmetric cones. Osaka Journal of Mathematics, 54 (1). pp. 197-208. ISSN 0030-6126.

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## Abstract

We characterise the affine span of the midpoints sets for Thompson's metric on symmetric cones in terms of a translation of the zero-component of the Peirce decomposition of an idempotent. As a consequence we derive an explicit formula for the dimension of the affine span of the midpoints sets in case the associated Euclidean Jordan algebra is simple.

Item Type: Article Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics Bas Lemmens 14 Jul 2015 08:24 UTC 29 May 2019 14:50 UTC https://kar.kent.ac.uk/id/eprint/49518 (The current URI for this page, for reference purposes)
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