Hilbert's metric on symmetric cones
| dc.creator | Koufany, Khalid | |
| dc.date | 2004-03-17 | |
| dc.date.accessioned | 2026-07-07T05:06:29Z | |
| dc.date.available | 2026-07-07T05:06:29Z | |
| dc.description | Let $Ω$ be a symmetric cone. In this note, we introduce the Hilbert projective metric on $Ω$ in terms of Jordan algebras and we apply it to prove that given a linear transformation $g$ such that $g(Ω)\subset Ω$ and a real number $p$, $|p|>1$, then there exists a unique element $x\inΩ$ satisfying $g(x)=x^p$. | |
| dc.description | 9 pages; latex | |
| dc.identifier | https://arxiv.org/abs/math/0403281 | |
| dc.identifier | http://arxiv.org/abs/math/0403281 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70486 | |
| dc.subject | Metric Geometry | |
| dc.subject | Metric Geometry; Group Theory | |
| dc.title | Hilbert's metric on symmetric cones | |
| dc.type | text |