Positive definite preserving linear transformations on symmetric matrix spaces

arXiv1008.1347MaRDI QIDQ6220097

Tran Thi Nha Trang, Doan The Hieu, H. D. Tuan

Publication date: 7 August 2010

Abstract: Base on some simple facts of Hadamard product, characterizations of positive definite preserving linear transformations on real symmetric matrix spaces with an additional assumption "$aT(E_{ii})=1,i=1,2,...,n$" or "$T(A)>0oA>0$", were given.

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Linear transformations, semilinear transformations (15A04) Linear preserver problems (15A86)

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