| Several Applications of Geometry of Matrices in Preserver Problem |
| Received:December 05, 2005 Revised:August 26, 2006 |
| Key Words:
geometry of matrices linear preserver problems semilinear operator alternate matrix.
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| Fund Project:the National Natural Science Foundation of China (10671026); the Science Foundation by Heilongjiang Education Committee (11521217). |
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| Abstract: |
| By the fundamental theorems of the geometry of matrices, some semi-linear preserver operators 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.04.007 |
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