Continuous Jordan triple endomorphisms of ${\mathbb{P}}_2$

Abstract

We describe the structure of all continuous Jordan triple endomorphisms of the set ${\mathbb{P}}_2$ of all positive definite $2\times 2$ matrices thus completing a recent result of ours. We also mention an application concerning sorts of surjective generalized isometries on ${\mathbb{P}}_2$ and, as second application, we complete another former result of ours on the structure of sequential endomorphisms of finite dimensional effect algebras.

References in corpus (1)

• Sequential isomorphisms between the sets of von Neumann algebra effects

Cited by in corpus (2)

• On endomorphisms of the Einstein gyrogroup in arbitrary dimension
• Jordan triple product homomorphisms on Hermitian matrices of dimension two