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arXiv · 1506.07819

Jordan triple product homomorphisms on Hermitian matrices to and from dimension one

Damjana Kokol Bukovsek·Blaz Mojskerc
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Abstract

We characterise all Jordan triple product homomorphisms, that is, mappings $\Phi$ satisfying $$ \Phi(ABA) = \Phi(A)\Phi(B)\Phi(A) $$ from the set of all Hermitian $n \times n$ complex matrices to the field of complex numbers. Further we characterise all Jordan triple product homomorphisms from the field of complex or real numbers or the set of all nonnegative real numbers to the set of all Hermitian $n \times n$ complex matrices.

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Damjana Kokol Bukovsek, Blaz Mojskerc. 2015-06-22. Jordan triple product homomorphisms on Hermitian matrices to and from dimension one. https://doi.org/10.1080/03081087.2015.1112345

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