Application of Hilbert's projective metric on symmetric cones

DOI10.1007/s10114-005-0755-6zbMath1149.17019arXivmath/0403281OpenAlexW2112456060MaRDI QIDQ2505395

Khalid Koufany

Publication date: 4 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403281

zbMATH Keywords

extension of Bushell's theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Structure theory for Jordan algebras (17C10) Finite-dimensional structures of Jordan algebras (17C55)

Related Items (7)

Max-plus convexity in Archimedean Riesz spaces ⋮ Hilbert's projective metric on Lorentz cones and Birkhoff formula for Lorentzian compressions ⋮ Nonlinear equations based on jointly homogeneous mappings ⋮ Factorizations of invertible density matrices ⋮ Bushell's equations and polar decompositions ⋮ The compression semigroup of the dual Vinberg cone ⋮ Hilbert projective metric on a gyrogroup of qubit density matrices

Cites Work

• Unnamed Item
• On solutions of the matrix equation T'AT=A\(^2\)
• Contractions of angles in symmetric cones.
• Hilbert's metric and positive contraction mappings in a Banach space
• Doppelverhältnisse in Jordan-Algebren
• Extensions of Jentzsch's Theorem
• Applications of geometric means on symmetric cones

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