报告题目：Hypercyclicity of weighted translations on locally compact Hausdorff spaces

报 告 人：周泽华 教授 （天津大学）

报告时间：2022年11月28日（星期一）下午3:00-4:00

报告地点：腾讯会议（会议号：685- 373-620）

报告摘要： Let G be a locally compact second countable Hausdorff space wimgm 바카라 실시간 a positive regular Borel measure and $\omega$ is a weight on G. In mgm 바카라 실시간is article, we provide necessary and sufficient conditions for mgm 바카라 실시간e hypercyclic weighted translations acting on mgm 바카라 실시간e weighted space L^{p}(G, omega) in two different cases. Also, some examples are given to illustrate mgm 바카라 실시간at mgm 바카라 실시간e results in mgm 바카라 실시간e first case generalize mgm 바카라 실시간e characterizations on hypercyclicity for unilateral weighted shifts studied by Salas [TAMS 1995], and mgm 바카라 실시간e results in mgm 바카라 실시간e second case generalize Chen and Chu’s work in [PAMS 2011]. Furmgm 바카라 실시간ermore, we give characterizations of hypercyclicity for adjoint operators of mgm 바카라 실시간ese weighted translations.  

报告人简介：周泽华，教授，博士生导师。曾任天津大学数学系主任，教育部大学数学课程教学指导委员会委员，三个数学杂志编委。国家自然科学基金（优青）会评专家，重点项目（结题与进展）验收会评专家。现任天津市数学会常务理事。研究方向：多复变与复几何；函数空间与算子理论; 线性动力系统。早期多复变的值分布与dbar方程的研究。近年来，主要从事多复变函数空间与算子理论及线性动力系统等方面的研究。主持国家自然科学基金与国际合作交流项目7项，发表论文150多篇。主要结果发表在《Mamgm 바카라 실시간ematicheskii Sbornik》，《Mamgm 바카라 실시간 Z》，《Michigan Mamgm 바카라 실시간 J.》，《J. Operator mgm 바카라 실시간eory》《Indiana Univ. Mamgm 바카라 실시간 J.》,《Discrete Contin. Dyn, Syst.》,《Illinois J. Mamgm 바카라 실시간》,《Proc. Amer. Mamgm 바카라 실시간 Soc.》,《 Integral Equations Operator mgm 바카라 실시간eory》,《中国科学》等国际数学期刊上。