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数学专家报告-北京理工大学蒋立宁教授学术报告

发布日期 : 2021-04-02 浏览次数 :

报告题目: The Generalized Fredholm Elements in a Semisimple Banach

Algebra

报 告 人: 蒋立宁 教授(北京理工大学)

时 间: 2021年4月13号(星期二) 下午2:00-2:50

地 点: 腾讯会议(会议号:361 868 220)

报告摘要: Let  be a unital semisimple Banach algebra. Denote the set of the generalized Fredholm elements in  by . In this report, we study the perturbations and the spectral mapping theorem of the generalized Fredholm elements. Furthermore, for , the conditions that f(a) is also a generalized Fredholm element are investigated, where f is a complex-valued function analytic on a neighborhood of . In addition, the topological properties of  are discussed. The last but not least, as an application, the topological property of the set of the generalized Fredholm elements is considered in a primitive unital -algebra. What's more, the socle of a primitive -algebra is characterized by the generalized Fredholm elements.

报告人简介:蒋立宁教授,北京理工大学数学科学学院教授,博士生导师,长期从事泛函分析和算子代数的研究,入选教育部新世纪人才。先后主持和参与国家自然科学基金面上项目和青年项目4项,研究成果发表在 J. Algebra, Proc. AMS等数学刊物上。

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