An inequality for distances among n points and distance preserving mappings

DOI10.7153/jmi-2019-13-69zbMath1437.51016OpenAlexW4256063220WikidataQ126305823 ScholiaQ126305823MaRDI QIDQ5217461

Jung, Soon-Mo, Doyun Nam

Publication date: 28 February 2020

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2019-13-69

zbMATH Keywords

inequalitiesAleksandrov-Rassias problemdistancelinear isometry

Mathematics Subject Classification ID

Distance geometry (51K99) General theory of distance geometry (51K05) Inner product spaces and their generalizations, Hilbert spaces (46C99) Inequalities and extremum problems in real or complex geometry (51M16)

Cites Work

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• An inequality for distances between \(2n\) points and the Aleksandrov--Rassias problem
• 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?
• An inequality for distances among five points and distance preserving mappings
• On Isometries of Euclidean Spaces

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