Wigner’s theorem in Hilbert $C^*$-modules over $C^*$-algebras of compact operators

DOI10.1090/S0002-9939-02-06426-2zbMath1067.46052OpenAlexW2149470909MaRDI QIDQ4529683

Boris Guljaš, Damir Bakić

Publication date: 6 May 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06426-2

zbMATH Keywords

compact operatorWigner's theoremHilbert \(C^{*}\)-module\(C^{*}\)-algebra

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) (C^*)-modules (46L08) Matrix and operator functional equations (39B42)

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Wigner’s theorem in Hilbert $C^*$-modules over $C^*$-algebras of compact operators ⋮ Generalized unitaries and the Picard group ⋮ Tietze extension theorem for Hilbert 𝐶*-modules ⋮ Wigner’s theorem in a class of Hilbert C*-modules ⋮ The correspondence of Fusion frames and frames In Hilbert $C^*$-modules and finite Gabor Fusion frames ⋮ On Wigner's theorem in smooth normed spaces ⋮ Perturbation of the Wigner equation in inner product C*-modules ⋮ On superstability of the Wigner equation ⋮ Applications of Wigner's theorem to positive maps preserving norm of operator products ⋮ A variant of Wigner's theorem in normed spaces ⋮ A variant of Wigner's functional equation

Cites Work

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• Inner Product Modules Over B ∗ -Algebras
• Modules Over Operator Algebras