Application of Hilbert’s Projective Metric on Symmetric Cones

被引：0

作者：

Khalid Koufany

机构：

[1] Université Henri Poincaré (Nancy 1),Institut Elie Cartan, UMR 7502 (UHP–CNRS–INRIA)

来源：

Acta Mathematica Sinica | 2006年 / 22卷

关键词：

Hilbert’s projective metric; Symmetric cone; 17C15; 32M15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let Ω be a symmetric cone. In this note, we introduce Hilbert’s projective metric on Ω in terms of Jordan algebras and we apply it to prove that, given a linear invertible transformation g such that g(Ω) = Ω and a real number p, |p| > 1, there exists a unique element x ∈ Ω satisfying g(x) = xp.

引用

页码：1467 / 1472

页数：5

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