Isometries, Mazur-Ulam theorem and Aleksandrov problem for non-Archimedean normed spaces

DOI10.1016/j.na.2011.10.006zbMath1248.46050OpenAlexW2065626815MaRDI QIDQ412666

Albert Kubzdela

Publication date: 4 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.10.006

zbMATH Keywords

isometryMazur-Ulam theoremnon-Archimedean normed spaceconservative distance

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Related Items (6)

Isometry and phase-isometry of non-Archimedean normed spaces ⋮ On the Mazur-Ulam theorem in non-Archimedean fuzzy \(n\)-normed spaces ⋮ Isometries of ultrametric normed spaces ⋮ A precision on the concept of strict convexity in non-Archimedean analysis ⋮ The distance preserving mappings and isometrics defined on non-Archimedean Banach spaces ⋮ A contribution to the Aleksandrov conservative distance problem in two dimensions

Cites Work

• A Mazur--Ulam theorem in non-Archimedean normed spaces
• Properties of isometric mappings
• On the Aleksandrov-Rassias problem and the Hyers-Ulam-Rassias stability problem
• On the Aleksandrov Problem of Conservative Distances
• On the Mazur-Ulam Theorem and the Aleksandrov Problem for Unit Distance Preserving Mappings
• Isometries in Normed Spaces
• On Isometries of Euclidean Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Isometries, Mazur-Ulam theorem and Aleksandrov problem for non-Archimedean normed spaces