报告题目:  On super weak compactness of subsets in Banach spaces

报告人：程庆进教授

报告时间：2019年1月11日上午10点

报告地点：10号教学楼415会议室

报告摘要: Analogous to weak compactness of subsets in Banach spaces and to property of subsets in super reflexive spaces, in this talk we will introduce a new type of compactness for bounded weak closed subsets in Banach spaces, which we call super weak compactness. The class of super weak compactness lies strictly between compactness and weak compactness and shares many good properties of those classes. For instance, it can be viewed as a localized notion of a super reflexive space since a Banach space is super reflexive if and only if its closed unit ball is super weakly compact.  Some nonlinear projections of super weakly compact convex sets will be considered.

报告人简介：

程庆进，厦门大学数学科学学院，教授，博士生导师。近期研究兴趣为无限维Banach空间球面一致结构理论及其在粗几何中的应用。（与合作者）提出并研究了Banach空间中的超弱紧性质；解决了非线性谱系不等式关于指数p的稳定性问题。主持国家面上及其省部级自然科学基金8项，并参加一项国家自然科学重点基金。在J. Convex Anal、J Funct Anal、Studia Math、Sci. China Ser. A、J. Math. Anal. Appl等国际期刊上发表SCI学术论文20多篇。

                                                                                                                      理学院

2019年1月9日