数学学科2026系列学术报告之三十四

　　报告题目：Wojtynski's problem and scattered range problem

　　时间：2026年11月15日8:30-12:00

　　地点：理学院1-301

　　报告人：曹鹏 （北京理工大学）

　　摘要：In 1998, W. Wojtynski post the following problem. Let X be a Banach space and L be a Banach Lie subalgebra of B(X) composed of quasinilpotent operators. Is the associative subalgebra of B(X) generated by L also composed of quasinilpotent operators? This problem has spurred the vigorous development of topological radical theory. One of open problems in topological radical theory is scattered range problem, that is, if the range of a derivation is of scattered elements (the element with at most countable spectrum), then will the range of this derivation be in the scattered radical? We will introduce the latest developments on these two problems.

　　报告人简介：曹鹏，1981年7月生，民盟盟员，博士生导师，原北京理工大学数学与统计学院副院长，现为研究生院培养办副主任。主要从事基础数学中泛函分析和非结合代数的研究。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。2023年入选中国高等教育学会数学专业委员会常务理事。