报告题目:New Examples of Non-reflexive Grothendieck Spaces
报告人:Qingying Bu(卜庆营)
报告时间:2019年12月18日下午15: 30-17: 00
报告地点:新主楼E-1114
报告摘要:
A Banach space is called a Grothendieck space if each separably valued bounded lin- ear operator on it is weakly compact. Equivalently, on its dual space, weakly convergent sequences coincide with weak star convergent sequences. All reflexive Baanch spaces are Grothendieck spaces but there is a few of examples of non-reflexive Grothendieck spaces. In this talk, by characterizing Fremlin projective tensor product of Banach lattices to be Grothendieck spaces, we provide new examples of non-reflexive Grothendieck spaces.
报告人简介:
Qingying Bu(卜庆营),男,1962年生,获哈尔滨工业大学理学博士学位,现为美国密西西比大学数学系终身教授。主要研究方向为泛函分析、算子理论,在国际重要学术期刊发表SCI检索论文80余篇。
理学院
2019年12月17日