Jordan Semi-Triple Multiplicative Maps on the Symmetric Matrices

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DOI: 10.4236/alamt.2013.32003    3,161 Downloads   7,313 Views  Citations

ABSTRACT

In this paper, we show that if an injective map on symmetric matrices Sn(C) satisfies
then for all , where f is an injective homomorphism on C, S is a complex orthogonal matrix and Af is the image of A
under f applied entrywise.

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X. Hao, P. Ren and R. An, "Jordan Semi-Triple Multiplicative Maps on the Symmetric Matrices," Advances in Linear Algebra & Matrix Theory, Vol. 3 No. 2, 2013, pp. 11-16. doi: 10.4236/alamt.2013.32003.

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