4 problems

Let a state space be equipped with leaves arising from optimal decompositions, and call the endpoints of such a leaf its extremal points. In the example described, the embedding…

Baire-measurable characterization. The vertical right arrow identifies $\mathcal{A}^{\infty}$ with those bounded affine functions on $\mathsf{States}(\mathcal{A})$ that are Baire m…

Redundancy conjecture. Both the Hilbert ball property and semi-modularity should be redundant in characterizing state spaces of JB-algebras; that is, the remaining stated condition…

Let ${\mathcal E}$ be the exponential family in the non-commutative state space, and let ${\mathcal T}^{\rm rI}$ and ${\mathcal T}^{\rm c}$ denote the reverse-information and norm…