| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4601176 | Linear Algebra and its Applications | 2011 | 10 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
