The distance preserving mappings and isometrics defined on non-Archimedean Banach spaces

DOI10.1090/CONM/704/14167zbMath1405.46055OpenAlexW2794944750MaRDI QIDQ4685933

Albert Kubzdela

Publication date: 9 October 2018

Published in: Advances in Ultrametric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/704/14167

zbMATH Keywords

non-Archimedean normed spacesisometricsconservative distancesmaps preserving distances

Mathematics Subject Classification ID

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

Cites Work

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• Isometries, Mazur-Ulam theorem and Aleksandrov problem for non-Archimedean normed spaces
• A Mazur--Ulam theorem in non-Archimedean normed spaces
• Properties of isometric mappings
• On the A.D. Aleksandrov problem of conservative distances and the Mazur-Ulam theorem.
• On the Aleksandrov Problem of Conservative Distances
• On the Mazur-Ulam Theorem and the Aleksandrov Problem for Unit Distance Preserving Mappings
• ON DISTANCE-PRESERVING MAPPINGS
• On Isometries of Euclidean Spaces
• Mappings of conservative distances and the Mazur-Ulam theorem

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