Altitude properties and characterizations of inner product spaces

DOI10.1007/BF01237469zbMath0966.51009MaRDI QIDQ1841854

Edward Z. Andalafte, Raymond W. Freese

Publication date: 6 August 2001

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

hyperbolic spaceinner product spaceeuclidean spacealtitude

Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15) General theory of distance geometry (51K05)

Related Items

A characterization of inner product spaces concerning an Euler-Lagrange identity

Cites Work

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• Some remarkable lines of triangles in real normed spaces and characterizations of inner product structures
• Inner products and norm derivatives
• Metrizations of orthogonality and characterizations of inner product spaces
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• AN INTRINSIC ISOSCELES FOUR POINT PROPERTY WHICH CHARACTERIZES HYPERBOLIC AND EUCLIDEAN SPACES