Phase-isometries between two \(\ell^p(\Gamma , H)\)-type spaces

DOI10.1007/s00010-020-00723-4zbMath1448.39041OpenAlexW3021383062MaRDI QIDQ2198300

Xianhua Zeng, Xu-Jian Huang

Publication date: 10 September 2020

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-020-00723-4

zbMATH Keywords

phase-isometriesvector-valued \(\ell^p\)-spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Functional equations for functions with more general domains and/or ranges (39B52) Isometric theory of Banach spaces (46B04)

Related Items (2)

Phase-isometries between normed spaces ⋮ On approximate phase isometries

Cites Work

• Orthogonality in \(\ell _p\)-spaces and its bearing on ordered Banach spaces
• A new proof of Wigner's theorem
• 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
• 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 ($p>0$)
• An elementary proof for the non-bijective version of Wigner's theorem
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