报告题目 (Title):Failure of almost uniform convergence for noncommutative martingales
中文标题:非交换鞅的几乎一致收敛的失效
报告人 (Speaker):洪桂祥(哈尔滨工业大学)
报告时间 (Time):2025年01月03日(周五) 17:15
报告地点 (Place):校本部GJ303
邀请人(Inviter):席东盟、李晋、吴加勇
报告摘要:In this talk, I shall present the joint work with Eric Ricard, which asserts that the almost uniform convergence may not happen for truly noncommutative Lp -martingales when p < 2. The same happens to ergodic averages. The proof consists of some sharp estimates of the distributional function of a sequence of matrices and some non standard transference techniques, which might admit further applications.