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Maps on the -dimensional subspaces of a Hilbert space preserving principal angles
Authors:Lajos Molná  r
Institution:Institute of Mathematics, P.O. Box 12, University of Debrecen, H-4010 Debrecen, Hungary
Abstract:In a former paper we studied transformations on the set of all $ n$-dimensional subspaces of a Hilbert space $ H$ which preserve the principal angles. In the case when $ \dim H\neq 2n$, we could determine the general form of all such maps. The aim of this paper is to complete our result by considering the problem in the remaining case $ \dim H=2n$.

Keywords:Wigner's theorem  projections  subspaces  principal angles  preservers
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