A characterization of symmetric cones by an order-reversing property of the pseudoinverse maps

DOI10.2969/jmsj/06041107zbMath1167.32015OpenAlexW1978658330MaRDI QIDQ998936

Chifune Kai

Publication date: 30 January 2009

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/06041107

zbMATH Keywords

symmetric conehomogeneous convex cone

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Differential geometry of symmetric spaces (53C35)

Related Items (3)

Gauge-reversing maps on cones, and Hilbert and Thompson isometries ⋮ ISOMETRIES OF POLYHEDRAL HILBERT GEOMETRIES ⋮ Denjoy-Wolff theorems for Hilbert's and Thompson's metric spaces

Cites Work

• On connection algebras of homogeneous convex cones
• A differential geometric characterization of homogeneous self-dual cones
• Family of Cayley transforms of a homogeneous Siegel domain parametrized by admissible linear forms
• A characterization of symmetric cones through pseudoinverse maps
• Geometric norm equality related to the harmonicity of the Poisson kernel for homogeneous Siegel domains
• A characterization of symmetric Siegel domains by convexity of Cayley transformation images
• A Characterization of Bounded Symmetric Domains by Curvature
• Inductive Construction of Homogeneous Cones
• Homogeneous Siegel domains
• Hyperbolic Polynomials and Interior Point Methods for Convex Programming
• A characterization of homogeneous self-dual cones
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