报告题目: Risk measure on vector lattices

报 告 人：李磊教授，南开大学

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.

报告时间：2024年11月11日下午16:35-17:30

报告地点：腾讯会议312-375-230

报告人简介：李磊，南开大学数学科学学院教授，博士生导师，南开大学数学系系主任。曾任台湾中山大学博士后研究员，英国玛丽女王大学访问学者。主要研究方向为泛函分析，已在J. Funct. Analysis, Math. Ann.,  J. Algebra, Israel J. Math., Studia Math., Proc. Amer. MAth. Soc., Quart. J. Math., Canad. Math. Bull., Anal. Funct. Anal.等期刊发表SCI论文20多篇。