Similarities between the numerical range of an operator and of certain generalized inverses

主讲人：Dragana Cvetkovi′c Ili′c，Professor at the University of Niš, Serbia

时间：2025年6月21日14：00

地点：徐汇校区三号楼332室

举办单位：数理学院

主讲人介绍：Dragana Cvetković Ilić is a Full Professor at the University of Niš, Serbia. She has also held distinguished roles including Distinguished Professor at Hubei Normal University, Honorary Professor at Shanghai University, Member of the Board of Directors of ILAS (International Linear Algebra Society), and Full Professor at Kuwait University. As one of the preeminent experts in the field of generalized inverses and their applications, she currently serves as a member of the Editorial Boards for multiple prestigious SCI-indexed journals, such as J. Comput. Appl. Math.) and Ann. Funct. Anal..

内容介绍：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 umerical examples.