Phase-isometries on real normed spaces

DOI10.1016/j.jmaa.2020.124058zbMath1454.46015arXiv1905.01637OpenAlexW3012257165MaRDI QIDQ2310497

Dong-Ni Tan, Xu-Jian Huang

Publication date: 6 April 2020

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

Full work available at URL: https://arxiv.org/abs/1905.01637

zbMATH Keywords

linear isometryMazur-Ulam theoremWigner's theoremphase-isometry

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04)

Related Items (13)

Min-phase-isometries and Wigner's theorem on real normed spaces ⋮ Isometry and phase-isometry of non-Archimedean normed spaces ⋮ On phase-isometries between the positive cones of continuous function spaces ⋮ Phase-isometries on the unit sphere of CL-spaces ⋮ MIN-PHASE-ISOMETRIES IN STRICTLY CONVEX NORMED SPACES ⋮ On a universal inequality for approximate phase isometries ⋮ Phase-isometries on the unit sphere of \(C(K)\) ⋮ Phase-isometries between normed spaces ⋮ RETRACTED – The wigner property for CL-spaces and finite-dimensional polyhedral banach spaces ⋮ A variant of Wigner's theorem in normed spaces ⋮ On approximate phase isometries ⋮ On normed spaces with the Wigner property ⋮ The wigner property for CL-spaces and finite-dimensional polyhedral Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces
• Tingley's problem on symmetric absolute normalized norms on \(\mathbb R^2\)
• A new proof of Wigner's theorem
• Isometric embeddings of compact spaces into Banach spaces
• Symmetry transformations in indefinite metric spaces. A generalization of Wigner's theorem
• Convex functions, monotone operators and differentiability
• Wigner's theorem on symmetries in indefinite metric spaces
• An elementary proof of the fundamental theorem of projective geometry
• On \(n\)-norm preservers and the Aleksandrov conservative \(n\)-distance problem
• A direct proof of Wigner's theorem on maps which preserve transition probabilities between pure states of quantum systems
• Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's theorem
• On Wigner's theorem: Remarks, complements, comments, and corollaries
• On stability of nonlinear non-surjective \(\varepsilon \)-isometries of Banach spaces
• A variant of Wigner's functional equation
• Wigner's theorem revisited
• WIGNER’S THEOREM IN -TYPE SPACES
• Wigner's theorem in atomic $L_p$-spaces ($p>0$)
• Lipschitz-free Banach spaces
• Note on Wigner's Theorem on Symmetry Operations
• Isometries in Normed Spaces
• Orthogonality and Linear Functionals in Normed Linear Spaces
• An elementary proof for the non-bijective version of Wigner's theorem

This page was built for publication: Phase-isometries on real normed spaces