Characterizations on 2-isometries

DOI10.1016/j.jmaa.2007.08.036zbMath1137.46002OpenAlexW2084817449MaRDI QIDQ2467800

Se-Hyun Ku, Dong Seung Kang, Hahng-Yun Chu

Publication date: 28 January 2008

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.2007.08.036

zbMATH Keywords

2-isometrylinear 2-normed space2-continuous functionweak 2-isometry

Mathematics Subject Classification ID

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

Related Items (4)

Characterizations on Mazur-Ulam theorem ⋮ Characterizations on isometries in linear \(n\)-normed spaces ⋮ A Mazur-Ulam problem in non-Archimedean \(n\)-normed spaces ⋮ On the Mappings Preserving Equality of 2-Distance

Cites Work

• Unnamed Item
• On the Mazur--Ulam problem in linear 2-normed spaces
• Isometrien in normierten Räumen. (Isometries in normed spaces)
• The Aleksandrov problem in linear 2-normed spaces.
• On the A.D. Aleksandrov problem of conservative distances and the Mazur-Ulam theorem.
• Remarks on Strictly Convex and Strictly 2-Convex 2-Normed Spaces
• On Strictly Convex and Strictly 2-Convex 2-Normed Spaces
• On the Aleksandrov Problem of Conservative Distances
• On the Mazur-Ulam Theorem and the Aleksandrov Problem for Unit Distance Preserving Mappings
• 2‐metrische Räume und ihre topologische Struktur

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