报告题目：On the Phases of Sectorial Operators

报 告 人：于天秋教授 黑龙江大学

报告时间：2020年11月13日  15:00-16:00

报告地点：腾讯会议 ID：428 239 511 密码：123456

校内联系人：张远航 zhangyuanhang@jlu.edu.cn

报告摘要：

In this talk, we define the phases of a sectorial operator based on numerical range and to clarify some of their properties. For the class of operators of the form strictly positive plus compact, we establish a majorization relation between the phases of the spectrum of AB and the phases of two sectorial operators A and B. This is then applied to give a necessary and sufficient condition for the invertibility of I+AB with both gain and phase information of two sectorial operators A and B, which plays a crucial role in feedback stability analysis.

报告人简介：

于天秋，黑龙江大学数学科学学院教授, 硕士生导师, 2011-2017年先后在大连理工大学和香港科技大学从事博士后和访问学者工作. 主要从事算子理论、Hilbert空间上线性系统鲁棒稳定性等方向的研究. 研究成果主要发表在SIAM Journal on Control and Optimization， PAMS, System& Control Letters，Journal of The Franklin Institute等期刊。