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arXiv · 1707.00327

Geometric version of Wigner's theorem for Hilbert Grassmannians

Mark Pankov
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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).

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Mark Pankov. 2017-09-17. Geometric version of Wigner's theorem for Hilbert Grassmannians. https://arxiv.org/abs/1707.00327

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