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Geometric version of Wigner's theorem for Hilbert Grassmannians

Published 2 Jul 2017 in math.FA | (1707.00327v3)

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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