Loos symmetric cones

DOI10.1007/s11117-019-00652-wzbMath1426.53071OpenAlexW2919696192WikidataQ128308989 ScholiaQ128308989MaRDI QIDQ2329007

Jimmie D. Lawson

Publication date: 17 October 2019

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-019-00652-w

zbMATH Keywords

geometric meanLöwner-Heinz inequalitynonpositive curvatureThompson's part metricconvex metricLoos symmetric cone

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Differential geometry of symmetric spaces (53C35) Homogeneous complex manifolds (32M10) Convex sets and cones of operators (47L07)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local midpoints on smooth manifolds
• A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
• Jordan \(C^*\)-algebras
• A Gelfand-Neumark theorem for Jordan algebras
• Convexity of the geodesic distance on spaces of positive operators
• Finsler structures for the part metric and Hilbert's projective metric and applications to ordinary differential equations
• Geometric means on symmetric cones
• A Cartan-Hadamard theorem for Banach-Finsler manifolds
• Finsler metrics on symmetric cones
• Infinite dimensional Jordan algebras and symmetric cones
• Metric convexity of symmetric cones
• Spiegelungsräume und homogene symmetrische Räume
• Reflexion spaces of minimal and maximal torsion
• Hilbert’s projective metric and iterated nonlinear maps
• Geometrical significance of the Löwner-Heinz inequality
• Symmetric spaces with convex metrics
• On Certain Contraction Mappings in a Partially Ordered Vector Space
• Reflexion spaces and homogeneous symmetric spaces
• Applications of geometric means on symmetric cones