Hilbert isometries and maximal deviation preserving maps on JB-algebras

DOI10.1016/j.aim.2019.06.027zbMath1478.46068arXiv1706.10259OpenAlexW2962952614WikidataQ127617002 ScholiaQ127617002MaRDI QIDQ2313362

Marten Wortel, Mark Roelands

Publication date: 19 July 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.10259

zbMATH Keywords

linear isometriesHilbert's metricmaximal deviationJB-algebras

Mathematics Subject Classification ID

Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70)

Related Items

Order isomorphisms between cones of JB-algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isometries of two dimensional Hilbert geometries
• Handbook of Hilbert geometry
• Symplectic geometry and Hilbert's fourth problem
• The Gelfand-Naimark theorem for \(JB^ *\)-triples
• 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
• The Hilbert metric and Gromov hyperbolicity.
• Linear maps on the space of all bounded observables preserving maximal deviation.
• Hyperbolic convex sets and quasisymmetric functions
• Gauge-reversing maps on cones, and Hilbert and Thompson isometries
• On Dye's theorem for Jordan operator algebras
• A Cartan-Hadamard theorem for Banach-Finsler manifolds
• Finsler metrics on symmetric cones
• Hilbert and Thompson isometries on cones in JB-algebras
• Metric convexity of symmetric cones
• Geometry of the unit sphere of a \(C^ *\)-algebra and its dual
• A Gelfand representation theory for \(C^ *\)-algebras
• On the geometry of projections in certain operator algebras
• Linear maps preserving maximal deviation and the Jordan structure of quantum systems
• Nonlinear Perron–Frobenius Theory
• ISOMETRIES OF POLYHEDRAL HILBERT GEOMETRIES
• GEODESICS AND OPERATOR MEANS IN THE SPACE OF POSITIVE OPERATORS
• Extensions of Jentzsch's Theorem
• Linear maps on observables in von Neumann algebras preserving the maximal deviation
• Thompson isometries of the space of invertible positive operators
• Hilbert’s projective metric and iterated nonlinear maps
• TYPE I₂ JBW-ALGEBRAS
• Geometrical significance of the Löwner-Heinz inequality
• Symmetric spaces with convex metrics