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Topological structure of the space of composition operators on the Hardy space of Dirichlet series

发布日期:2021-11-30点击数:

报告人:王茂发(武汉大学)

时间2021年12月07日9:00开始

腾讯会议ID:309 237 588


摘要:The aim of this talk is to characterize when linear combinations of composition operators are compact on the Hilbert space of Dirichlet series with square summable coefficients. Especially, we discuss the topological structure of the set of composition operators acting on the Hilbert space of Dirichlet series.  It reveals that there exists a continuous arc in the set of all bounded composition operators on the space containing non-compact ones. Moreover, it is shown that the linear combinations of composition operators induced by finitely many distinct linear symbols are compact only when each one of them is compact. This is a joint work with Bayart and Yao.


简介:王茂发,武汉大学太阳成集团tyc539教授,博士生导师,研究领域为泛函分析及其应用;王教授在复分析、函数空间与算子理论等多个领域取得了一系列重要的研究成果,

见:https://mathscinet.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=wang%2Cmaofa&co4   


邀请人:赵显锋


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太阳成集团tyc539的前身是始建于1929年的太阳成集团理学院和1937年建立的太阳成集团商学院,理学院是太阳成集团最早设立的三个学院之一,首任经理为数学家何鲁先生。