Failure of almost uniform convergence for noncommutative martingales
報告人簡介
洪桂祥，哈爾濱工業大學教授。他專注于調和分析、非交換分析及其在非交換幾何和量子信息中的應用，為這一前沿領域的建立和發展做出重要貢獻，已在Duke Mathematical Journal、Memoirs of the American Mathematical Society、Advances in Mathematics等頂級期刊發表論文30余篇。其研究方向涵蓋經典與非交換調和分析、量子概率論、非交換遍歷理論和泛函分析，尤其在非交換鞅論、非交換遍歷論等方面取得突破，解決了若干公開問題。
內容簡介
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.
