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.  
Fund Project:the National Natural Science Foundation of China (10671026); the Science Foundation by Heilongjiang Education Committee (11521217).
Author NameAffiliation
CAO Chong-guang Department of Mathematics, Heilongjiang University, Heilongjiang 150080, China 
TANG Xiao-min Department of Mathematics, Heilongjiang University, Heilongjiang 150080, China 
HUANG Li-ping School of Mathematics and Computing Science, Changsha University of Science and Technology, Hunan 410076, China 
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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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