报告人：曹小红
报告地点：人民大街校区数学与统计学院104
报告时间：2026年11月14日（星期六）9:00-10:00
邀请人：李春光、安庆楠
报告摘要：
“Property (UWE) holds” for an operator when the complement in the approximate point spectrum of the “essential approximate point spectrum” coincides with the isolated points of the spectrum which are eigenvalues. T is said to satisfy property (R) if the complement in the approximate point spectrum of the Browder essential approximate point spectrum coincides with the isolated eigenvalues of finite multiplicity. In this report, we give the necessary and sufficient conditions for linear bounded operators and their functions for which property (UWE) holds. In addition, we explore how property (UWE) and property (R) survive for 2 × 2 upper triangular operator matrices.
主讲人简介：
曹小红，陕西师范大学教授。2004年6月毕业于北京大学，获应用数学博士学位，目前主要从事算子理论与算子代数研究，2006年入选教育部“新世纪优秀人才计划”，先后主持完成了国家自然科学基金数学天元基金项目一项、国家自然科学基金面上项目一项、教育部新世纪优秀人才支持计划项目一项。近些年发表学术论文100余篇，主要发表在“Proceedings of the American Mathematical Society”, “Studia Mathematica”, “Journal of Mathematical Analysis and Applications”, “Linear Algebra and its Applications”, “Banach Journal of Mathematical Analysis”, “Journal of Australian Mathematical Society”, “Communications in Contemporary Mathematics”, “Operator and Matrices”, “Acta Mathematica Sinica”, “Linear and Multilinear Algebra”, “Journal of Korean Mathematical Society”, “数学学报”等国内外重点期刊上。获2014年陕西高等学校科学技术奖一等奖。出版研究生教材《算子与框架教程》(高等教育出版社)一部。
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