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On positive definite preserving linear transformations of rank $r$ on real symmetric matrices
positive definite linear transformations
2010/11/22
We study on what conditions on $B_k,$ \ a linear transformation of rank $r$ \label{form} T(A)=\sum_{k=1}^r\tr(AB_k)U_k where $U_k,\ k=1,2,..., r$ are linear independent and all positive definite; is p...