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The linear preservers of real diagonalizable matrices
Published 12 Jul 2010 in math.RA | (1007.1983v3)
Abstract: Using a recent result of Bogdanov and Guterman on the linear preservers of pairs of simultaneously diagonalizable matrices, we determine all the automorphisms of the vector space M_n(R) which stabilize the set of diagonalizable matrices. To do so, we investigate the structure of linear subspaces of diagonalizable matrices of M_n(R) with maximal dimension.
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