A variant of Wigner's functional equation

DOI10.1007/s00010-014-0296-0zbMath1321.39025OpenAlexW2052368128MaRDI QIDQ2354647

Aleksej Turnšek

Publication date: 20 July 2015

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

Full work available at URL: https://doi.org/10.1007/s00010-014-0296-0

zbMATH Keywords

functional equationlinear isometryquaternionsinner product spacesWigner's theoremphase equivalenceanti-linear isometry

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) General theory of functional equations and inequalities (39B05)

Related Items (11)

Orthogonality equation with two unknown functions ⋮ Unnamed Item ⋮ Min-phase-isometries and Wigner's theorem on real normed spaces ⋮ Maps on states preserving generalized entropy of convex combinations ⋮ MIN-PHASE-ISOMETRIES IN STRICTLY CONVEX NORMED SPACES ⋮ Phase-isometries between two \(\ell^p(\Gamma , H)\)-type spaces ⋮ WIGNER’S THEOREM IN -TYPE SPACES ⋮ On superstability of the Wigner equation ⋮ Phase-isometries on real normed spaces ⋮ On normed spaces with the Wigner property ⋮ Wigner's theorem on the Tsirelson space \(T\)

Cites Work

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• Note on Wigner's Theorem on Symmetry Operations
• An elementary proof for the non-bijective version of Wigner's theorem

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