数学科学系

Department of Mathematical Sciences

Product of operators and the product of their numerical ranges

报告题目: Product of operators and the product of their numerical ranges

 

报告人:Chi-Kwong LiCollege of William and Mary

 

时间:2014721日(星期一)15:00-16:00

 

地点:理科楼数学系A304

 

摘要: We show that a compact operator A is a multiple of a positive operator if and only if  the spectrum of AB is always a subset of the closure of the product of the numerical ranges W(A) and W(B) for any (rank one) operator B. The sufficiency may fail for a general operator A. Other classes of operators for the equivalence conditions to hold are identified, and related problems are discussed.

 

联系人:崔健莲