Isometry and phase-isometry of non-Archimedean normed spaces

DOI10.1007/s10473-023-0603-8OpenAlexW4388410173MaRDI QIDQ6068760

Wenting Yao, Rui Dong Wang

Publication date: 13 November 2023

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-023-0603-8

zbMATH Keywords

Wigner's theoremnon-Archimedean normed spacesisometry extension

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isometries, Mazur-Ulam theorem and Aleksandrov problem for non-Archimedean normed spaces
• On normed spaces with the Wigner property
• A new proof of Wigner's theorem
• A Mazur--Ulam theorem in non-Archimedean normed spaces
• A direct proof of Wigner's theorem on maps which preserve transition probabilities between pure states of quantum systems
• Isometries of the unit sphere
• On Wigner's theorem: Remarks, complements, comments, and corollaries
• Phase-isometries between normed spaces
• Phase-isometries on real normed spaces
• Extension of isometries between the unit spheres of complex \(l^p(\Gamma)\) \((p>1)\) spaces
• On the isometric extension problem
• Wigner's theorem revisited
• Wigner's theorem in atomic $L_p$-spaces ($p>0$)
• Note on Wigner's Theorem on Symmetry Operations
• On Wigner's theorem in strictly convex normed spaces

This page was built for publication: Isometry and phase-isometry of non-Archimedean normed spaces