Description of facially symmetric spaces with unitary tripotents

We give a description of finite-dimensional real neutral strongly facially symmetric spaces with the property JP. We also prove that if $Z$ is a real neutral strongly facially symmetric with an unitary tripotents, then the space $Z$ is isometrically isomorphic to the space $L_1(\Omega,\Sigma, \mu),$ where $(\Omega,\Sigma, \mu)$ is a measure space having the direct sum property.