A Banach-Stone type theorem for Riesz* homomorphism between partially ordered vector spaces

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:张峰(太原理工大学)
:2023-02-27 16:30
:海韵园实验楼108报告厅

报告人:张峰(太原理工大学)

时  间:2023227日下午16:30-18:00

地  点:海韵园实验楼108报告厅

内容摘要:

Let X, Y be compact Hausdorff spaces, E, F be Banach lattices and F with order continuous norm. In this talk, I will introduce the pre-Riesz theory, and use pre-Riesz space theory to consider a Riesz* homomorphism T between order dense subspaces of C(X, E) and C(Y, F). This will show that T is a weighted composition operator.

人简介:

张峰,太原理工大学数学学院讲师,2018年博士毕业于荷兰莱顿大学,主要研究方向为Banach格及其上的正算子理论、偏序向量空间、保不相交算子等。相关成果发表于Rev. Mat. Complu.Positivity, Indag. Math. (NS)等。主持省级项目两项。

 

联系人:张文