Several Applications of Geometry of Matrices in Preserver Problem
Cao Chong-guang · Journal of Mathematical Research and Exposition · 2007
By the fundamental theorems of the geometry of matrices,some semi-linear preserver op- erators and additive preserver operators on matrix spaces are characteriged,including rank-additivety preservers,weak semi-automorphisms of the full matrix ring,idempotence preservers,2-potent matrices preservers,and the adjacency preservers of altenate matrices.