20220621 杨义新 The compressed shift operators on Hardy space over the bidisk

报告人：  杨义新  教授

报告题目：The compressed shift operators on Hardy space over the bidisk

报告时间：6月21号(周二)下午3:00-4:00pm

腾讯会议ID：156-485-146 无密码

邀请人： 罗率兵

摘要：The model operators S(u) have played an important role in developing both function and operator theory over the past century. In particular, the lattice of invariant subspaces   and the spectrum of S(u) have been very well understood. This success led people to study the Hardy space over the bidisk. We are interested in the independent behavior of   compressed shift operator S_{z} on the Beurling type quotient modules induced by rational inner functions. In this talk, we characterize when is S_z^* a Cowen-Douglas operator and extend the notion of Cowen-Douglas operator to be the generalized Cowen-Douglas operator. The connection between the reducibility of S_z and generalized Cowen-Douglas operator are established.

报告人简介：杨义新，大连理工大学数学科学学院教授、博士生导师，2015年于纽约州立大学奥尔巴尼分校获博士学位。主要从事泛函分析、算子理论与算子代数的教学和科研工作，包括双圆盘Hardy空间上的算子理论、双圆盘上的Nevanlinna-Pick（广义）插值等。在《J. Funct. Anal.》、《Integr. Equ. and Oper.Theory》等学术期刊上发表科研论文多篇，目前主持国家自然科学基金面上项目一项。

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