Product of operators and the product of their numerical ranges

Title: Product of operators and the product of their numerical ranges

SpeakerChi-Kwong LiCollege of William and Mary

 

Date: 15:00-16:00 pm, July 21, 2014

 

Place: Conference Room B304, Department of Mathematical Sciences

 

Abstract: 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.

 

ContactJianlian Cui