JP Journal of Algebra, Number Theory and Applications
Volume 5, Issue 3, Pages 503 - 512
(December 2005)
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LINEAR PRESERVERS OF THE ADJOINT FUNCTION BETWEEN SYMMETRIC MATRIX SPACES OVER FIELDS
Xiao-Min Tang (P. R. China)
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Abstract: Suppose F is a field. Denote by Sn(F) the space of all n ? n symmetric matrices with entries in F. We characterize the linear maps from Sn(F) into Sm(F) that preserve the adjoint function, where n ? 3 and m ? 2. |
Keywords and phrases: linear preservers, symmetric matrix, adjoint function, rank. |
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