北京理工大学蒋立宁教授学术报告会

报告题目：Characterizations of minimal elements in C*-algebras

报告时间：2023年10月12日（周四）17:00

报告地点：景中师范中心

报告人：蒋立宁

报告人单位：北京理工大学

报告简介：

 The report studies the properties and characterizations of minimal elements in C*-algebras. Firstly we devoted to B-minimal hermitian matrices, where B is a C*-subalgebra of Mn(C). By means of unitary diagonalization, a constructive method to obtain all B-minimal hermitian matrices is introduced. Secondly, W(H)-minimal hermitian compact operators on a separable Hilbert space H are studied, and the necessary and sufficient conditions for hermitian compact operators to be W(H)-minimal are characterized, where W(H) is a C*-subalgebra of the compact operator algebra K(H). At last we aim at non-hermitian B-minimal elements in a C*-algebra A, where B is a C*-subalgebra of A. Moreover, the connections among minimal elements, witness and positive modification are stated. As an application, it is proved that the unilateral shift operators are minimal related to the algebra of diagonal bounded linear operators.

报告人简介：

蒋立宁，北京理工大学数学与统计学院教授，博士生导师，“新世纪教育部优秀人才”。1999年毕业于北京大学数学学院，获博士学位；1999年至2001年，任清华大学高等研究中心博士后研究员；研究方向：泛函分析和算子代数。主持国家自然科学基金项目2项，参与国家自然科学基础项目3项。在国际知名期刊《algebra》、《Proc Amer Math Soc》、《 Jour Math Anal Appl》、《Science in China》、《Acta Math Sinica (English), Acta Math》发表论文数篇。

邀请单位：数学与统计学院