报告题目:Functional models and operator inequalities
报告人:Glenier Bello(波兰科学院 副教授)
报告时间:2021年6月23日21:00-22:00
会议号: 腾讯会议:906 827 069
报告摘要:Given an abstract Hilbert space operator $T$, a functional model for it is another operator $M$ acting on a space of functions which is essentially the same as $T$. If one can construct a model with a simple form, then it is possible to tackle questions on $T$ using tools from complex analysis. The spectral theorem (in its general version given by von Neumann in the 1930's) exhibits the power of this technique: this cornerstone result in functional analysis permits to understand normal operators.I will give an overview on the Sz.-Nagy--Foias model, and present new results in this direction obtained recently.
报告人简介:Bello博士是一名非常优秀的年轻数学研究人员,他于2020年博士毕业于西班牙马德里自治大学,现在波兰科学院担任副教授。他发表论文多篇,并获得2009年第五十届数学奥林匹克竞赛铜牌.