The linear preservers of real diagonalizable matrices |
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| Authors: | Bernard Randé |
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| Institution: | a Lycée Louis le Grand, 123, rue Saint-Jacques, 75005 Paris, France
b Lycée Privé Sainte-Geneviève, 2, rue de l’École des Postes, 78029 Versailles Cedex, France |
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| 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 Mn(R) which stabilize the set of diagonalizable matrices. To do so, we investigate the structure of linear subspaces of diagonalizable matrices of Mn(R) with maximal dimension. |
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| Keywords: | 15A86 15A30 12D15 |
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