Phase-isometries between normed spaces

DOI10.1016/j.laa.2020.12.006zbMath1458.39019arXiv2005.02949OpenAlexW3113065766MaRDI QIDQ2228517

Aleksej Turnšek, Matjaž Omladič, Dijana Ilišević

Publication date: 17 February 2021

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.02949

zbMATH Keywords

isometryprojective geometryWigner's theoremreal normed spacephase-isometry

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Isomorphic theory (including renorming) of Banach spaces (46B03) Functional equations for functions with more general domains and/or ranges (39B52) Isometric theory of Banach spaces (46B04) Projective differential geometry (53A20)

Related Items (9)

Min-phase-isometries and Wigner's theorem on real normed spaces ⋮ Nonlinear Birkhoff-James orthogonality preservers in smooth 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 ⋮ A variant of Wigner's theorem in normed spaces ⋮ On approximate phase isometries

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