Local Euclidean Four-Point Properties Which Characterize Inner-Product Spaces

DOI10.2307/2040564zbMath0317.53060OpenAlexW4250659092MaRDI QIDQ4078761

S. G. Wayment, J. E. Valentine

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/2040564

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Dissections and valuations (Hilbert's third problem, etc.) (52B45) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Cites Work

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• Quasihyperbolic geometry
• Wilson angles in linear normed spaces
• An extension of a theorem of Jordan and von Neumann
• On Criteria of Kasahara and Blumenthal for Inner-Product Spaces
• Metric characterizations of Banach and Euclidean spaces

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