2 problems

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…

Let $(X,\mu)$ be a measure space, and consider a symmetric measurably continuous function of two variables on $(X\times X,\mu\times\mu)$. A measurably continuous function is one th…