报告时间：2022年10月18日（星期二）15:00-16:00

报告地点：腾讯会议：871-894-138

报 告 人：Julio Benitez 教授

工作单位：Universidad Politecnica de Valencia

举办单位：数学学院

报告人简介：Julio Benitez 是西班牙瓦伦西亚理工大学的教授，2000年取得瓦伦西亚理工大学的博士学位，主要从事广义逆理论、矩阵理论、AHP理论的研究，并在 《Linear Algebra Appl》,《Linear Multilinear Algebra》,《the Electronic Journal of Linear Algebra》等杂志上发表了70余篇SCI 论文。

报告简介：In this talk, the (b, c)-inverse will be studied. Several equivalent conditions for the existence of the (b, c)-inverse in rings will be given. In particular, the conditions ensuring the existence of the (b, c)-inverse, of the annihilator (b, c)-inverse and of the hybrid (b, c)-inverse, will be proved to be equivalent, provided b and c are regular elements in a unitaryring R. In addition, the set of all (b, c)-invertible elements will be characterized and the reverse order law will be also studied. Moreover, the relationship between the (b, c)-inverse and the Bott–Duffin (p, q)- inverse will be considered. In the context of Banach algebras, integral, series and limit representations will be given. Finally, the continuity of the (b, c)-inverse will be characterized.