报告名称：单位球面上粗Lipschitz嵌入的稳定延拓

报告专家：尹际富

专家所在单位：河南师范大学

报告时间：2026年6月10日 下午15:00

报告地点: 数统学院203

专家简介：

尹际富，河南师范大学数学与统计学院讲师，硕士生导师，博士毕业于南开大学数学科学学院.  研究兴趣为泛函分析及其应用，包括空间理论，算子理论和优化理论等；最近主要从事 Banach 空间几何方面的研究，在《中国科学:数学》，Acta Math. Sci.，J Math. Anal. Appl.，Results Math.和 Ann. Funct. Anal. 等国内外知名期刊发表论文数篇. 主持国家自然科学基金一项，中国博士后科学基金项目两项.

报告摘要：

In this talk, we will investigate the coarse Lipschitz problem which concerned with coarse Lipschitz embedding between unit spheres of Banach spaces. Before further investigation, some reflections on the primary version of this problem are made and several simple but interesting examples are given, which lead us to reformulate the coarse Lipschitz problem in a more reasonable form. After that, we establish the extension theory for coarse Lipschitz embedding between unit spheres. Based on this, for a large class of  spaces, we obtain a stable  extension  of the coarse Lipschitz embedding between unit spheres to their corresponding unit balls, which answers the coarse Lipschitz problem affirmatively. Furthermore, it is also pointed out that a positive answer to the coarse Lipschitz problem implies the Mazur-Ulam property for the corresponding spaces.