报告题目: An interpolation problem for conjugations

报 告 人: 朱森 教授 吉林大学数学学院

照    片：

邀 请 人: 刘 磊

报告时间: 2020年10月16日(周五)；下午16:00-17:00

报告地点：腾讯会议ID：719 637160

报告人简介：朱森，吉林大学数学学院教授，博士生导师. 主持国家自然科学基金青年项目、面上项目等. 近年来主要从事线性算子的复对称性、随机理论等方面的研究，已在 Math Ann., Trans. AMS, J. Funct. Anal., J. London Math. Soc.等杂志发表系列论文.

报告摘要: By a conjugation, we mean an antilinear, isometric involution on a complex Hilbert space H. We give a solution to the following interpolation problem: Characterize the class of pairs (M, N) of subspaces of H such that there is a conjugation C on H satisfying C(M) = N. We show that two subspaces M, N having this property simply means that they are in symmetric position, in the sense that dim() = dim(). We present some of its applications to the study of complex symmetric operators and their relatives.