LINEAR PRESERVERS OF THE ADJOINT FUNCTION BETWEEN SYMMETRIC MATRIX SPACES OVER FIELDS
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.
linear preservers, symmetric matrix, adjoint function, rank.
