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arXiv · 1506.06223

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

Lajos Molnár·Dániel Virosztek
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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.

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Lajos Molnár, Dániel Virosztek. 2015-06-20. Continuous Jordan triple endomorphisms of $\mathbb{P}_2$. https://doi.org/10.1016/j.jmaa.2016.02.028

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