An inequality for distances between \(2n\) points and the Aleksandrov--Rassias problem

DOI10.1016/j.jmaa.2006.01.043zbMath1109.46027OpenAlexW2093234270MaRDI QIDQ852851

Jung, Soon-Mo, Lee, Kisuk

Publication date: 15 November 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.01.043

zbMATH Keywords

Hilbert spacesparallelogram lawdistance preserving maps

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Nonlinear functional analysis (46T99)

Related Items (2)

An inequality for distances among five points and distance preserving mappings ⋮ An inequality for distances among n points and distance preserving mappings

Cites Work

• Isometrien in normierten Räumen. (Isometries in normed spaces)
• A contribution to a theorem of Ulam and Mazur
• Inequalities for distances between points and distance preserving mappings
• Is a Distance One Preserving Mapping between Metric Spaces Always an Isometry?
• On Isometries of Euclidean Spaces
• Mappings of conservative distances and the Mazur-Ulam theorem
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