A Mazur-Ulam problem in non-Archimedean \(n\)-normed spaces

DOI10.1186/1029-242X-2013-34zbMath1297.46055arXiv0912.2039WikidataQ59294475 ScholiaQ59294475MaRDI QIDQ389130

Hahng-Yun Chu, Se-Hyun Ku

Publication date: 17 January 2014

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

Full work available at URL: https://arxiv.org/abs/0912.2039

zbMATH Keywords

Mazur-Ulam theorem\(n\)-isometrynon-Archimedean \(n\)-normed space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Length, area and volume in real or complex geometry (51M25)

Cites Work

• On the Mazur--Ulam problem in linear 2-normed spaces
• The \(N\)-isometric isomorphisms in linear \(N\)-normed \(C^{\ast}\)-algebras
• A Mazur--Ulam theorem in non-Archimedean normed spaces
• The Aleksandrov problem in linear 2-normed spaces.
• On the A.D. Aleksandrov problem of conservative distances and the Mazur-Ulam theorem.
• Volume preserving mappings in the spirit of the Mazur-Ulam theorem
• Characterizations on 2-isometries
• Mappings of conservative distances in linear \(n\)-normed spaces
• Characterizations on Mazur-Ulam theorem
• Orthogonality and Orthonormality inn-Inner Product Spaces
• n-Inner Product Spaces
• Strange Terrain--Nonarchimedean Spaces
• A Proof of the Mazur-Ulam Theorem
• Isometries in Normed Spaces
• Mappings of conservative distances and the Mazur-Ulam theorem
• On the generalizations of the Mazur-Ulam isometric theorem

This page was built for publication: A Mazur-Ulam problem in non-Archimedean \(n\)-normed spaces