报告题目：Generalized inverses, matrix and operator equations V: Different classes of solutions of certain matrix and operator equations

报告简介：We will consider necessary and sufficient conditions for the existence of different classes of the solutions of certain matrix and operator equations. What was the motivation for this lecture? The principal motivation was the rather surprising fact that the necessary and sufficient conditions for the existence of a positive solution of the operator equation AXB=C are unknown in the general case. The existence of a positive solution of the equation AXB = C was considered in different settings but only under additional conditions including that of regularity, as well as under certain range conditions such as R(B) ⊆ R(A*). In this lecture we will consider this open question and present some equivalents of the existence of a positive solution of the operator equation AXB = C without any additional range assumptions, using a completely new technique that includes two well-known results of Douglas and Sebesty´en. Also we will consider a general form of a positive solution.

报告人：Dragana S. Cvetković-Ilić

Department of Mathematics, Faculty of Science and Mathematics, University of Nis

报告人简介： Dragana S. Cvetković-Ilić 塞尔维亚Niš大学教授，主要从事广义逆理论及其应用方面的研究，在Linear Algebra Appl.，Proc. Amer. Math. Soc.，Linear & Multilinear Algebra，J. Austra. Math. Soc.，Acta Math. Sci.，Appl. Math. Comp.，J. Operator Theory等SCI杂志上发表学术论文80多篇，先后获塞尔维亚数学会颁发的数学科学成就奖、塞尔维亚最具影响力的40岁以下数学家国家奖、塞尔维亚“科学界的妇女”，现为国际线性代数学会高级会员，SCI杂志Filomat，Journal of Computational and Applied Mathematics，Annals of Functional Analysis的编委和杂志Facta Universitatis的主编。

报告时间：2021年4月30日（星期五）下午15:00

腾讯会议ID：637 883 920

主办单位：扬州大学数学科学学院

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