报告题目 (Title)：Similarities between the numerical range of an operator and of certain generalized inverses (算子和特定广义逆下值域的相似性)
报告人 (Speaker)：Dragana Cvetkovic ́ Ilic ́ 教授（Kuwait University）
报告时间 (Time)：2025年6月22日(周日) 10:50-11:50
报告地点 (Place)：校本部GJ303
邀请人(Inviter)：王卿文
主办部门：理学院数学系
报告摘要： In this talk we will consider the different properties of the numerical range for a bounded linear operator from the point of view of its similarities to the numerical range of certain generalized inverses such as the Moore-Penrose inverse, Drazin inverse, DMP-inverse, MDP-inverse and CMP-inverse. We will discuss the question whether the numerical ranges of an operator and its certain generalized inverse simultaneously contain the origin as well as whether this is true in the case of the closure, boundary, extreme points and sharp points of the corresponding numerical ranges. To illustrate our results we will exhibit some numerical examples.
