报告题目：Quantitative mean ergodic inequalities : power bounded operators acting on one single noncommutative Lp space

报告时间：2023年6月29日下午15:00-17:00

报告地点：腾讯会议245-710-780

报告人简介：徐邦，武汉大学基础数学专业博士，现就职于美国休斯顿大学，从事博士后研究工作。研究方向为非交换分析。在Math. Ann.， J. Funct. Anal.，J. Operator Theory等著名数学SCI期刊发表学术论文多篇。

报告摘要： In this talk , we establish the quantitative mean ergodic theorems for two subclasses of power bounded operators on a fixed noncommutative Lp - space with 1< p < o ∞, which mainly concerns power bounded invertible operators and Lamperti contractions . Our approach to the quantitative ergodic theorems is the noncommutative square function inequalities . The establishment of the latter involves several new ingredients such as the almost orthogonality and Calderon - Zygmund arguments for non - smooth kernels from semi - commutative harmonic analysis , the extension properties of the operators under consideration from operator theory , and a noncommutative version of the classical transference method due to Coifman and Weiss .