报告题目：Scattered radical theory and two open problems

报 告 人：曹鹏教授 （北京理工大学）

报告时间：2023年12月23日（星期六）下午16:00-17:00

报告地点：海山楼（创新园大厦）B1401

校内联系人：于涛 教授        联系电话：84708354

报告摘要：A scattered operator is a bounded linear operator with at most countable spectrum. In this talk, we will talk about the history of scattered radical theory and two main problems on it, that are scattered range problem and weaken Wojtynskii problem. The scattered range problem is following, if the range of the elementary operator is contained in the set of scattered operators, will the range be in scattered ideal? Here, we mainly consider elementary operators on B(H), and get some positive results on the elementary operators of length 2, higher order inner derivations and generalized inner derivation. Finally, we will give some results for generalized inner derivation on von Neumann algebras and then we can give a new type of Wojtynskii problem depending on the scattered radical theory.

报告人简介：曹鹏，民盟盟员，博士生导师，北京理工大学数学与统计学院副院长。1999年开始在北京航空航天大学学习，2003年在北航直接攻读博士学位。2007年入职北京理工大学。主要从事基础数学中泛函分析和非结合代数的研究，以及数学在生命科学中的应用等。主持国家自然科学基金面上项目等科研项目10余项。入选北京市优秀人才支持计划，北京市青年教师英才计划等人才类项目。教学方面近年来一直从事数学类菁英人才的培养工作。2023年入选中国高等教育学会数学专业委员会常务理事。