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Jordan triple product homomorphisms on Hermitian matrices of dimension two

Published 9 Dec 2015 in math.RA | (1512.02849v2)

Abstract: We characterise all Jordan triple product homomorphisms, that is, mappings $\Phi$ satisfying $$ \Phi(ABA) = \Phi(A)\Phi(B)\Phi(A) $$ on the set of all Hermitian $2 \times 2$ complex matrices.

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