2 problems

Continuity and Radon–Nikodym conjecture. The values $\tau_\varphi(z_\alpha)$ converge for every such net, so this limit defines $\tau_\varphi$ on $\mathfrak{M}_{L^{\infty}}$. Moreo…

Let $A$ be a uniform algebra on a compact Hausdorff space $K$, and let $\mathfrak{M}_A$ denote its maximal ideal space. An analytic disc is a nonconstant holomorphic map from the u…