Non-unital operator systems that are dual spaces

被引：0

作者：

Jia, Yu-Shu ^{[1
]}

Ng, Chi-Keung ^{[1
,2
]}

机构：

[1] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2022年 / 650卷

基金：

中国国家自然科学基金;

关键词：

Operator systems; Duality;

D O I：

10.1016/j.laa.2022.05.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We will extend the main result of [1] to the non-unital case with a totally different proof. More precisely, we give an abstract characterization of an arbitrary self-adjoint weak*closed subspace of L(H) (equipped with the induced matrix norm, the induced matrix cone and the induced weak*topology). In order to do this, we give a matrix analogue of a result of Bonsall for *-operator spaces equipped with closed matrix cones.

引用

页码：150 / 161

页数：12

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