Maps on the 𝑛-dimensional subspaces of a Hilbert space preserving principal angles

DOI10.1090/S0002-9939-08-09317-9zbMath1143.47025OpenAlexW1970124693MaRDI QIDQ3522319

Lajos Molnár

Publication date: 1 September 2008

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09317-9

zbMATH Keywords

projectionsWigner's theorempreserverssubspacesprincipal angles

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Algebraic systems of matrices (15A30) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Operator algebra methods applied to problems in quantum theory (81R15) Quantum logic (03G12) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (8)

Automorphisms and some geodesic properties of ortho-Grassmann graphs ⋮ Wigner's theorem on Grassmann spaces ⋮ Geometric version of Wigner's theorem for Hilbert Grassmannians ⋮ A non-injective version of Wigner's theorem ⋮ A geometric approach to Wigner‐type theorems ⋮ Wigner-type theorem on transition probability preserving maps in semifinite factors ⋮ Generalized Grassmann graphs associated to conjugacy classes of finite-rank self-adjoint operators ⋮ Transition probability preserving maps on a Grassmann space in a semifinite factor

Cites Work

• Selected preserver problems on algebraic structures of linear operators and on function spaces
• History and generality of the CS decomposition
• Linear maps preserving commutativity
• RELATIONS BETWEEN TWO SETS OF VARIATES
• Transformations on the set of all \(n\)-dimensional subspaces of a Hilbert space preserving principal angles
• Unnamed Item

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