Title：Generalized inverses, matrix and operator equations III: Reverse order laws

Abstract：In this lecture, we will give an exposition of the so-called reverse order law problem, which was originally posed by Greville as early as in 1960, who first considered it in the case of the Moore–Penrose inverse of two matrices. This was followed by further research on this subject branching in several directions: products with more than two matrices were considered; different classes of generalized inverses were studied; different settings were considered (operator algebras, C*-algebras, rings, etc.). We will discuss the reverse order law for certain generalized inverses in different settings and present all recently published results on this subject as well as some examples and open problems.

Speaker：Dragana S. Cvetković-Ilić，Department of Mathematics, Faculty of Science and Mathematics, University of Nis, Serbia

Dragana S. Cvetković-Ilić is a full professor of University of Nis, Serbia. Her main research field is the theory of generalized inverse and its applications. She has published more than 80 papers in SCI journals such as Linear Algebra Appl.，Proc. Amer. Math. Soc.，Linear & Multilinear Algebra，J. Austra. Math. Soc.，Acta Math. Sci.，Appl. Math. Comp.，J. Operator Theory and so on. She is a member of the Board of Directors of ILAS(International Linear Algebra Society), (3/2020-), member of the Editorial Board for the following journals: Journal of Computational and Applied Mathematics, Annals of Functional Analysis, FILOMAT, and FACTA UNIVERSITATIS, Series Mathematics and Informatics (Editor in Chief). She is also awarded by “For women in Sciences”, Loreal-Unesco, Serbia, and Award for achievements in Mathematical Sciences, Mathematical Society of Serbia.

Date：1:00pm-4:30pm 2021-4-9（Friday）.

Venue:

Tencent Meeting ID：570 471 110

Organizer：School of Mathematical Science

Students and teachers who are interested  are welcome.