报告题目：Nearly invariant subspaces for shift semigroups
报告人：梁玉霞 副教授（天津师范大学）
报告时间：2022年9月20日（周二） 15:00-16:00
报告地点：腾讯会议：471 485 051

报告摘要：In this talk, let {T(t)}be a C_0-semigroup on an infinite dimensional separable Hilbert space; a suitable definition of near {T(t)^*} invariance of a subspace is presented. A series of prototypical examples for minimal nearly {S(t)^*} invariant subspaces for the shift semigroup {S(t)} on L^2(0,\infty) are demonstrated, which have close links with nearly T_{\theta}^* invariance on Hardy spaces of the unit disk for an inner

function \theta. Especially, the corresponding subspaces on Hardy spaces of the right half-plane and the unit disk are related to model spaces. We further include a discussion on the structure of the closure of certain subspaces related to model spaces in Hardy spaces.
报告人简介：梁玉霞，副教授，硕士生导师。主要研究方向为：解析函数空间、算子理论、线性动力系统等，现已发表SCI学术论文五十余篇；主持完成国家自然科学基金青年项目一项、天津市教委项目一项；2015年入选天津市“131”创新型人才培养工程第三层次，同年获得第一届天津市数学会青年学术奖三等奖；2017年入选天津市高校“中青年骨干创新人才培养计划”人选。