Isometries of ultrametric normed spaces

DOI10.1007/S43034-021-00144-7zbMath1480.46085arXiv2108.00812OpenAlexW3200837795MaRDI QIDQ2233229

Javier Cabello Sánchez, José Navarro Garmendia

Publication date: 15 October 2021

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.00812

zbMATH Keywords

Mazur-Ulam theoremisometriesultrametric normed spaces

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Isometric theory of Banach spaces (46B04) Non-Archimedean analysis (26E30)

Cites Work

• Unnamed Item
• Isometries, Mazur-Ulam theorem and Aleksandrov problem for non-Archimedean normed spaces
• A Mazur--Ulam theorem in non-Archimedean normed spaces
• A precision on the concept of strict convexity in non-Archimedean analysis
• Linearity of isometries between convex Jordan curves
• A reflection on Tingley's problem and some applications
• A survey on Tingley’s problem for operator algebras

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