On closedness of convex sets in Banach lattices

Positivity - Let X be a Banach lattice. A well-known problem arising from the theory of risk measures asks when order closedness of a convex set in X implies closedness with respect to the topology...     

On closedness of law-invariant convex sets in rearrangement invariant spaces

Archiv der Mathematik - This paper presents relations between several types of closedness of a law-invariant convex set in a rearrangement invariant space $${\mathcal {X}}$$. In particular, we show...