Chow's theorem for Hilbert Grassmannians as a Wigner-type theorem

M Pankov, A Tyc - Linear and Multilinear Algebra, 2024 - Taylor & Francis
Let H be an infinite-dimensional complex Hilbert space. Denote by G∞(H) the
Grassmannian formed by closed subspaces of H whose dimension and codimension both …

[PDF][PDF] Wigner symmetries and Gleason's theorem

P Semrl - arXiv preprint arXiv:2106.06182, 2021 - arxiv.org
arXiv:2106.06182v1 [math-ph] 11 Jun 2021 Page 1 arXiv:2106.06182v1 [math-ph] 11 Jun
2021 Wigner symmetries and Gleason’s theorem ∗ Peter Šemrl Faculty of Mathematics and …

Nonexpansive and noncontractive mappings on the set of quantum pure states

M Mori, P Šemrl - Proceedings of the Royal Society of Edinburgh …, 2024 - cambridge.org
Wigner's theorem characterizes isometries of the set of all rank one projections on a Hilbert
space. In metric geometry, nonexpansive maps and noncontractive maps are well-studied …