Orthogonality preserving transformations on the set of \(n\)-dimensional subspaces of a Hilbert space
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Publication:1765979
zbMath1071.47038MaRDI QIDQ1765979
Publication date: 25 February 2005
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Related Items (26)
Maps on matrix spaces ⋮ Wigner's type theorem in terms of linear operators which send projections of a fixed rank to projections of other fixed rank ⋮ Isometries of Grassmann spaces. II ⋮ Commutativity preserving transformations on conjugacy classes of compact self-adjoint operators ⋮ Wigner's theorem on Grassmann spaces ⋮ Geometric version of Wigner's theorem for Hilbert Grassmannians ⋮ Ortho-isomorphisms of Grassmann spaces in semifinite factors ⋮ A non-injective version of Wigner's theorem ⋮ Orthogonality preserving transformations of Hilbert Grassmannians ⋮ Automorphisms of graphs corresponding to conjugacy classes of finite-rank self-adjoint operators ⋮ A geometric approach to Wigner‐type theorems ⋮ Surjective \(L^p\)-isometries on Grassmann spaces ⋮ Isometries of Grassmann spaces ⋮ Surjective isometries on Grassmann spaces ⋮ Maps on essentially infinite idempotent operators ⋮ Wigner-type theorem on transition probability preserving maps in semifinite factors ⋮ Maps on real Hilbert spaces preserving the area of parallelograms and a preserver problem on self-adjoint operators ⋮ Categories of orthogonality spaces ⋮ Isometries between projection lattices of von Neumann algebras ⋮ Isometries of the spaces of bounded frame functions ⋮ Orthogonal apartments in Hilbert Grassmannians ⋮ Transition probability preserving maps on a Grassmann space in a semifinite factor ⋮ Symmetry witnesses ⋮ Surjective \(L^p\)-isometries on rank 1 idempotents ⋮ Commutativity preserving transformations on conjugacy classes of finite rank self-adjoint operators ⋮ Wigner symmetries and Gleason’s theorem *
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