Speaker：Lei Li (Nankai University)

Time：2024-7-30, 10:30

Location：Conference Room 686 at the 6th floor of Shuli Building at Haiyun Campus

Abstract:

Let X be a r.i. Banach function space and $\rho$ is a proper, convex increasing functional, we are interested in the interplay between law invariance and order semicontinuity. In this talk, we will show that if $\rho$ is real-valued and law invariant, then both order and   $\sigma(X, X_n^\sim)$ lower semicontinuity are automatic at every $z\in X$ such that $z^-\in X_a$. This is the joint work with S. Chen, D. Leung and N. Gao.