| | 讲座题目：Matrix limit theorems of reciprocal Lie-Trotter type 主讲人：Fumio Hiai 教授 主持人：詹兴致 教授 开始时间：2019-09-16 15:00:00 结束时间：2019-09-16 16:00:00 讲座地址：闵行数学楼401报告厅 主办单位：数学科学学院
报告人简介： Fumio Hiai教授在von Neumann代数↔️，算子理论和矩阵分析领域做出了重要贡献。他在Springer出版社和美国数学会出版社出版过专著。Mathematical Reviews 显示：他的论著被引用了 1938 次𓀙。 报告内容： We discuss limit theorems for Phi(A^p)^{1/p} and (A^p sigma B)^{1/p} as p goes to infinity for positive matrices A,B, where Phi is a positive linear map between matrix algebras (in particular, Phi(A)=KAK^*) and sigma is an operator mean (in particular, the weighted geometric mean), which are considered as certain reciprocal Lie-Trotter formulas and also a generalization of Kato's limit to the supremum A vee B with respect to the spectral order. |
