On the Mazur--Ulam problem in linear 2-normed spaces

DOI10.1016/j.jmaa.2006.04.053zbMath1109.46009OpenAlexW1995210888MaRDI QIDQ860639

Hahng-Yun Chu

Publication date: 9 January 2007

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.2006.04.053

zbMATH Keywords

Mazur-Ulam theorem2-isometrylinear 2-normed space

Mathematics Subject Classification ID

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

Related Items (19)

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Cites Work

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• Properties of isometric mappings
• The Aleksandrov problem in linear 2-normed spaces.
• On the Aleksandrov problem in linear \(n\)-normed spaces
• On the A.D. Aleksandrov problem of conservative distances and the Mazur-Ulam theorem.
• On the Mazur-Ulam Theorem and the Aleksandrov Problem for Unit Distance Preserving Mappings
• A Proof of the Mazur-Ulam Theorem
• Isometries in Normed Spaces

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