The linear preservers of real diagonalizable matrices
Rings and Algebras
2011-10-17 v3
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.
Cite
@article{arxiv.1007.1983,
title = {The linear preservers of real diagonalizable matrices},
author = {Bernard Randé and Clément de Seguins Pazzis},
journal= {arXiv preprint arXiv:1007.1983},
year = {2011}
}
Comments
14 pages