报告  人：夏经博 教授

报告地点：金融数学实验室

报告题目：THE BERGER-COBURN PHENOMENON FOR HANKEL OPERATORS ON THE FOCK SPACE

报告时间：14:30-15:30，2023.12.21

报告摘要：The Berger-Coburn phenomenon of Hankel operators on the Fock space was recently reported by Hu and Virtanen for the Schatten classes C_p, 1 < p < ∞. We establish the Berger-Coburn phenomenon for the Lorentz ideals C_p⁺ and C_p^-, 1 < p < ∞. We further show that there is no Berger-Coburn phenomenon for the trace class C₁, for C₁⁺, and for the Macaev ideal C∞^- .

报告题目：ANTISYMMETRIC SUMS AND TRACES ASSOCIATED WITH QUOTIENT MODULES

报告时间：14:30-15:30，2023.12.19

报告摘要：We consider the quotient module Q of the Hardy module H²(S) defined by an analytic set M satisfying certain conditions. Denote d=dim_CM. Solving a previously raised problem, we show that certain 2d-antisymmetric sums of module operators are in the trace class. In the case d=1, we derive a trace formula on Q, which answers another previously raised question.

报告人简介：

夏经博，纽约州立大学布法罗分校教授、嘉兴大学特聘教授。主要从事函数空间、算子理论和算子代数等方面的研究，并取得了一系列重大的研究成果。其相关研究均发表在主流的国际数学期刊上，到目前为止已发表论文百余篇。