报告题目：双圆盘Hardy空间上Bergman移位算子的约化子空间刻画

报 告 人：许安见

报告摘要：In last twenty years, it become an important tool to use the theory of multivariable operators and functions to study a single operator and the functions of one variable in the study of the Bergman shift. The idea is to lift the Bergman shift up as the compression of a commuting pair of isometries on a subspace of the Hardy space of the bidisk which was given in Rudin's book, used in studying the Hilbert modules by R. Douglas and V Paulsen, operator theory in the Hardy space over the bidisk by R. Douglas and R. Yang, the reducing subspaces of the Bergman shift by Zheng, Guo, Zhong, and Sun, the Beurling type theorem of the Bergman shift by Zheng and Sun etc. In this talk, the idea is used to give several characterizations of functions in reducing subspaces of the Bergman shift, and a reformulation of the invariant subspace problem. This is a joint work with Professor Shunhua Sun.

 报告人简介：许安见，重庆理工大学理学院教授. 主持国家自然科学基金青年等项目. 近年来主要从事Hardy空间上算子理论的研究，在 J. Funct. Anal., J. London Math. Soc.等国际杂志发表系列论文. 

报告时间：2023年11月08日14：00-15：00

报告地点：腾讯会议：845226610

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