Midpoints for Thompson's metric on symmetric cones
Metric Geometry
2015-07-14 v1
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.
Keywords
Cite
@article{arxiv.1507.03087,
title = {Midpoints for Thompson's metric on symmetric cones},
author = {Bas Lemmens and Mark Roelands},
journal= {arXiv preprint arXiv:1507.03087},
year = {2015}
}
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11 pages