广州数学大讲坛第五期

第四十一讲——天津大学周泽华教授学术报告


题目:Disjoint hypercyclic and supercyclic composition operators on discrete weighted Banach spaces

时间:2024年7月5日(星期五)下午15:00-17:00

地点:理学实验楼314

报告人:周泽华教授

摘要:Linear dynamics is a young and rapidly evolving branch of functional analysis, which is mainly concerned with the behaviour of iterates of continuous linear operators on separable infinite dimensional topological vector spaces. Such as, hypercyclicity, supercyclicity, chaoticity, transitivity and so on. In this talk, we characterize the disjoint hypercyclic and disjoint supercyclic composition operators on the little weighted Banach space $L^0_\mu(T)$ defined on an unbounded, locally finite metric space $T$ with a distinguished element. We give an explanation of the conditions which are needed and list some examples simultaneously.

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,三个数学杂志编委。2005-1017年任教育部大学数学课程教学指导委员会委员,多次参加国家自然科学基金优青,以及重点项目的会评。国家级《数学与应用数学》特色专业建设负责人,国家级《数学分析》一流课程建设负责人。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。早期涉及多复变的值分布与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。作为项目负责人承担国家自然科学基金项目7项,发表论文150多篇。主要结果发表在《Sbornik Mathematics》,《Math. Z》,《Michigan Math. J.》,《J. Operator Theory》,《Indiana Univ. Math. J.》,《Studia Math.》,《Illinois J. Math.》,《C. R. Math. Acad. Sci. Paris》,《Internat. J. Math.》,《Proc. Amer. Math. Soc.》,中国科学等国际数学期刊上。