Geometric version of Wigner's theorem for Hilbert Grassmannians
classification
🧮 math.FA
keywords
grassmannianshilberttransformationsadjacencyanglescharacterizedcomplexconjugate-linear
read the original abstract
We show that the transformations of Grassmannians (of complex Hilbert spaces) induced by linear or conjugate-linear isometries can be characterized as transformations preserving some of principal angles (corresponding to the orthogonality, adjacency and ortho-adjacency relations).
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.