Title：Banach Spaces with the Ball Covering Property
Speaker：Bentuo Zheng（Hebei Normal University）
Abstract：A Banach space is said to have the ball covering property if its unit sphere can be covered by countably many open balls off the origin. The ball covering property is a property that has close relationships with the topological properties and geometric properties of Banach spaces. In this talk, we will give a review of the historical literature and present some recent advances on this topic. Open problems will be proposed, and approaches will be discussed.
Time：10.19（Monday），10:00-11:00
Venue：Gewu Building 315
About the speaker： 郑本拓，获美国Texas A&M University数学博士学位，现为河北师范大学特聘教授，主要研究方向为Banach空间理论及其应用，郑本拓教授在Banach空间理论领域获得了诸多杰出的成果。例如:解决了著名的具有无条件基Banach空间的子空间的刻画问题，回答了泛函分析国际顶级专家H. Rosenthal提出的一个三十多年的公开问题；运用Banach空间理论，对调和分析领域关于Lp空间函数平移的公开问题给出否定回答；完全证明弱有界逼近性质和强逼近性质对于任意Banach空间的等价性，解决了逼近性质资深专家Oia的猜想。郑本拓教授国际著名数学期刊Duke Math Journal，Transactions of AMS以及Journal of Functional Analysis等发表论文多篇。
