报告时间：2022年12月12日（星期一）16:00-18:00

报告地点：腾讯会议：263-828-417

报 告 人：Dragan Rakic 教授

工作单位：University of Nis

举办单位：数学学院

报告人简介：Dragan Rakic，塞尔维亚尼什大学教授，2015年博士毕业于尼什大学，主要研究方向为泛函分析、算子理论、广义逆及偏序理论。在专业杂志上等杂志上发表高质量论文20余篇，并主持塞尔维亚科学基金项目2项、及塞尔维亚与思罗维尼亚双边项目1项。

报告简介： The classes of 1MP-inverses and MP1-inverses are recently introduced classes of generalized inverses of complex matrices. Actually, they coincide with the classes of {1,2,3} and {1,2,4} inverses, respectively. We consider these inverses in the context of a ring with involution and prove that their most important characterizations and properties remain true. We show that the binary relations based on these inverses are in fact the well known left-star and right-star partial orders. We extend these relations to the ring case, connect them with the unified theory of partial order relations based on generalized inverses and provide several properties. Finally, we indicate how these results can be applied to bounded Hilbert space operators.