题目:Marcinkiewicz interpolation for non-commutative maximal norms
报告人:Léonard Cadilhac(Institut Mathématique de Jussieu, Sorbonne Université)
时间:2022年11月30日(星期三),16:00-17:30
Zoom会议:会议号:882 8540 7533,会议密码:028422
会议链接:https://zoom.us/j/88285407533?pwd=NFlsWlZlb2F3c3VmMHBqOXVud1NpQT09
摘要:In a landmark paper published in 2007, M. Junge and Q. Xu made significant contributions to noncommutative ergodic theory and in particular furthered our understanding of non-commutative maximal norms. One of their key results is a Marcinkiewicz-type interpolation theorem for those norms, for which they provide a long and technical proof. I will present recent work in collaboration with E. Ricard, where we revisit this theorem, providing a more compact proof and improving on the statement. The talk will first discuss non-commutative maximal norms and briefly introduce interpolation, then detail the main ideas and result, and finally present its more technical variants as well as some of the challenges ahead.
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