Hilbert's projective metric on Lorentz cones and Birkhoff formula for Lorentzian compressions

DOI10.1016/j.laa.2006.12.015zbMath1117.47026OpenAlexW1967820388MaRDI QIDQ880030

Yongdo Lim

Publication date: 10 May 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.12.015

zbMATH Keywords

compressionspin factorHilbert's projective metricLorentz coneBirkhoff contraction formula

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Positive matrices and their generalizations; cones of matrices (15B48) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Ordered topological linear spaces, vector lattices (46A40) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Linear operators on spaces with an indefinite metric (47B50)

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Unique geodesics for Thompson's metric, Hilbert's projective metric in quantum information theory, Hilbert projective metric on a gyrogroup of qubit density matrices

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