3 research outputs found
An extension of a characterization of the automorphisms of Hilbert space effect algebras
The aim of this paper is to show that if an order preserving bijective
transformation of the Hilbert space effect algebra also preserves the
probability with respect to a fixed pair of mixed states, then it is an
ortho-order automorphism. A similar result for the orthomodular lattice of all
sharp effects (i.e., projections) is also presented.Comment: 12 pages, to appear in Rep. Math. Phy