Continuous Jordan triple endomorphisms of P2P2

We describe the structure of all continuous Jordan triple endomorphisms of the set P2P2 of all positive definite 2×22×2 matrices thus completing a recent result of ours. We also mention an application concerning sorts of surjective generalized isometries on P2P2 and, as second application, we complete another former result of ours on the structure of sequential endomorphisms of finite dimensional effect algebras.