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学术报告101:Julio Benitez — The (b, c)-Inverse in Rings and in the Banach Context

时间:2022-10-11 作者: 点击数:

报告时间20221018日(星期二)15:00-16:00

报告地点腾讯会议:871-894-138

Julio Benitez 教授

工作单位Universidad Politecnica de Valencia

举办单位:万象城官方网站(中国)有限公司

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.


上一篇:学术报告102:Julio Benitez — AHP theory and the linearization scheme.Some problems (solved and open)

下一篇:学术报告100:Julio Benitez — Further results on the reverse order law for the group inverse in rings