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

摘要

This paper presents relations between several types of closedness of a law-invariant convex set in a rearrangement invariant space XIn particular, we show that order closedness, sigma(X,Xn similar to)We also provide some application to proper quasiconvex law-invariant functionals with the Fatou property.