Geometric version of Wigner's theorem for Hilbert Grassmannians
Functional Analysis
2017-09-19 v3
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).
Keywords
Cite
@article{arxiv.1707.00327,
title = {Geometric version of Wigner's theorem for Hilbert Grassmannians},
author = {Mark Pankov},
journal= {arXiv preprint arXiv:1707.00327},
year = {2017}
}
Comments
this new version contains only some minor corrections related to the Fundamental Theorem of Projective Geometry