Continuous coexistency preservers on effect algebras *
Michiya Mori, Peter Šemrl · Journal of Physics A Mathematical and Theoretical · 2020
Abstract Let H be a finite-dimensional Hilbert space, dim H ⩾ 2. We prove that every continuous coexistency preserving map on the effect algebra E ( H ) is either a standard automorphism of E ( H ), or a standard automorphism of E ( H ) composed with the orthocomplementation. We present examples showing the optimality of the result.