Weekly update (4/12/2026)

Open problem: convex integrals. I have added a new open problem about defining convex integrals of ensembles given a probability measure. The idea is to see whether one can use the second countability of the topology to extend convex combinations (i.e. barycentric algebra) over the space to integrals of probability measure.

Brief on classical uncertainty principle. As I am looking to make results more readily accessible, I wrote a technical brief on the classical uncertainty principle.

Slow progress on other fronts. I have also decided to go through Eric Schechter' Handbook of Analysis and its Foundations cover to cover, to see if I missed any tidbits that may be useful