Wigner-type theorem on transition probability preserving maps in semifinite factors

DOI10.1016/j.jfa.2018.05.019OpenAlexW2962955315MaRDI QIDQ1715463

Wei Yuan, Wen Ming Wu, Li Guang Wang, Wen Hua Qian

Publication date: 4 February 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.09157

zbMATH Keywords

transition probabilityWigner's theoremGrassmann spacessemifinite factor

Mathematics Subject Classification ID

Special maps on metric spaces (54E40) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (7)

Maps preserving transition probability from pure product states to pure states ⋮ Ortho-isomorphisms of Grassmann spaces in semifinite factors ⋮ Surjective \(L^p\)-isometries on Grassmann spaces ⋮ Isometries between projection lattices of von Neumann algebras ⋮ Surjective \(L^2\)-isometries on the projection lattice ⋮ Transition probability preserving maps on a Grassmann space in a semifinite factor ⋮ Surjective \(L^p\)-isometries on rank 1 idempotents

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Isometries of Grassmann spaces
• Wigner's theorem on symmetries in indefinite metric spaces
• Generalized symmetry transformations on quaternionic indefinite inner product spaces: An extension of quaternionic version of Wigner's theorem
• Wigner-type theorem on symmetry transformations in type II factors.
• Orthogonality preserving transformations on the set of \(n\)-dimensional subspaces of a Hilbert space
• Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's theorem
• Generalization of Wigner's unitary-antiunitary theorem for indefinite inner product spaces
• Wigner's theorem on Grassmann spaces
• Surjective isometries on Grassmann spaces
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• The set of automorphisms of B(H) is topologically reflexive in B(B(H))
• Maps on the 𝑛-dimensional subspaces of a Hilbert space preserving principal angles
• The Mackey-Gleason Problem
• On the Jordan Structure of C ∗ -Algebras
• Transformations on the set of all \(n\)-dimensional subspaces of a Hilbert space preserving principal angles
• An elementary proof for the non-bijective version of Wigner's theorem

This page was built for publication: Wigner-type theorem on transition probability preserving maps in semifinite factors