On the Alexandrov problem of distance preserving mapping

DOI10.1016/j.jmaa.2008.10.022zbMath1160.46004OpenAlexW1968549145MaRDI QIDQ1018655

Jinmei Gao

Publication date: 20 May 2009

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.2008.10.022

zbMATH Keywords

2-isometry2-Lipschitz mappingAOPPlinear \((2linear 2-normed spacesp)\)-normed spaces

Mathematics Subject Classification ID

Fuzzy topology (54A40) Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.) (46A70)

Related Items (2)

The Aleksandrov-Benz-Rassias problem on linear \(n\)-normed spaces ⋮ On the Aleksandrov-Rassias problems on linear \(n\)-normed spaces

Cites Work

• The Aleksandrov problem in linear 2-normed spaces.
• On isometric extensions and distance one preserving mappings
• On the Aleksandrov Problem of Conservative Distances
• On the Mazur-Ulam Theorem and the Aleksandrov Problem for Unit Distance Preserving Mappings
• 2‐Banach Spaces
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