报告题目: Risk measure on vector lattices

报告人(单位): 李磊教授 南开大学

报告时间: 2024年10月10日（星期四）下午14:20-15:20

报告地点: 腾讯会议100-980-148

报告摘要: 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.

报告人简介: 李磊，南开大学数学科学学院教授、博士生导师。曾任台湾中山大学博士后研究员，英国玛丽女王学院访问学者。主要研究方向为泛函分析，在Math. Ann., J. Funct. Analysis, Israel J. Math., J.O.T.等期刊发表SCI论文50多篇。