Jordan triple product homomorphisms on Hermitian matrices of dimension two

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.

34 pages

References in corpus (2)

• Continuous Jordan triple endomorphisms of ${\mathbb{P}}_2$
• Jordan triple product homomorphisms on Hermitian matrices to and from dimension one