Hyperbolic distances in Hilbert spaces

DOI10.1007/s000100050089zbMath0931.39014OpenAlexW1974359727MaRDI QIDQ1306323

Walter Benz

Publication date: 22 February 2000

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000100050089

zbMATH Keywords

hyperbolic distancefunctional equationspre-Hilbert spaceEuclidean distancehyperbolic translationsorthogonal mappings

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Functional equations for functions with more general domains and/or ranges (39B52) General theory of distance geometry (51K05) Orthogonal and unitary groups in metric geometry (51F25)

Related Items (4)

Möbius transformations and the configuration space of a Hilbert snake ⋮ On the functional equation of periodic lines ⋮ Mappings of conservative distances and the Mazur-Ulam theorem ⋮ A characterization of relativistic addition

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