English

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

Functional Analysis 2016-03-11 v1

Abstract

We describe the structure of all continuous Jordan triple endomorphisms of the set P2\mathbb{P}_2 of all positive definite 2×22\times 2 matrices thus completing a recent result of ours. We also mention an application concerning sorts of surjective generalized isometries on P2\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.

Keywords

Cite

@article{arxiv.1506.06223,
  title  = {Continuous Jordan triple endomorphisms of $\mathbb{P}_2$},
  author = {Lajos Molnár and Dániel Virosztek},
  journal= {arXiv preprint arXiv:1506.06223},
  year   = {2016}
}
R2 v1 2026-06-22T09:57:11.070Z