主講人：洪桂祥,、張之厚
時 間：2024年10月25日 上午8點（洪桂祥）
2024年10月25日 上午10點（張之厚）
舉辦單位：數(shù)學與統(tǒng)計學院
會議形式：講座,，A03號樓318（數(shù)學與統(tǒng)計學院會議室）
主講人簡介：
1,、洪桂祥，哈爾濱工業(yè)大學教授,，博士生導師,，2016年入選國家高層次青年人才項目，2023年獲批國家杰出青年基金,。研究方向為(經(jīng)典,、向量值、非交換)調(diào)和分析,，量子概率論,，非交換遍歷理論，泛函分析及其在量子信息論與非交換幾何中的應用?，F(xiàn)已在非交換鞅論,，非交換遍歷論及非交換調(diào)和分析等領(lǐng)域上取得突破性進展，解決了若干公開問題；部分工作已發(fā)表在Memoirs AMS, Duke Math. J, Math. Annalen, Comm. Math. Phy., Adv. Math., J. Funct. Anal., IMRN和Analysis & PDE等數(shù)學期刊上,。
講座題目：John-Nirenberg inequalities for noncommutative BMO martingales
講座摘要:In this talk, I shall present the noncommtuative analogues of John-Nirenberg inequalities for martingales, which is based on two joint work with Congbian Ma (Xinxiang University),Tao Mei (Baylor University), and Yu Wang (Wuhan University).
2,、張之厚，上海工程技術(shù)大學教授,，美國《數(shù)學評論》評論員,。長期從事Banach空間幾何理論與應用及逼近論方面的研究，主持和主要參與六項國家自然科學基金項目,。在包括《J. Approx. Theory》,、《Nonlinear Analysis. TMA》、《J.Math Anal Appl》,、《Studia Math》,、《Houston J. Math》、《Acta Math Sin》,、《Acta Math Sci》,、《中國科學.數(shù)學》等重要刊物在內(nèi)的雜志上發(fā)表論文70余篇。在科學出版社出版列入大學數(shù)學科學叢書的學術(shù)專著一部,、在高教出版社出版教材兩部,。排名第一分別獲得上海市自然科學獎一項、上海市教學成果獎兩項,。主持完成上海市教委重點課程一門,。曾任2018年國家自然科學獎會評專家，榮獲上海市育才獎,，寶鋼優(yōu)秀教師獎等多項稱號,。
講座題目：Three kinds of dentabilities in Banach spaces
講座摘要:In this talk, firstly we study some kinds of dentabilities in Banach spaces which are closely related to the famous Radon-Nikodym prperty. We introduce the concepts of the weak*-weak* denting point of a set, which are the generalizations of weak* denting point of a set in dual Banach spaces. By use of the weak*-weak denting point, we characterize the very smooth space, the point of weak*-weak continuity and the extreme point of a unit ball in dual Banach space, respectively. Meanwhile, we also characterize approximatively weak compact Chebyshev set in dual Banach spaces. Moreover, we defined the nearly weak dentability in Banach spaces, which is a generalization of near dentability. We proved that the necessary and sufficient conditions of the reflexivity by nearly weak dentability. We also obtain that nearly weak dentability is equivalent to both approximatively weak compactness of Banach spaces and w-strong proximinality of every closed convex subset of Banach spaces.
