A Bishop-Stone-Weierstrass Theorem for (M2（C）)n

被引：0
|
作者：
Qi Hui LI [1 ]
Don HADWIN [2 ]
机构：
[1] Department of Mathematics,East China University of Science and Technology
[2] Department of Mathematics and Statistics,University of New Hampshire
来源：
Acta Mathematica Sinica,English Series | 2013年 / 08期
基金：
中国国家自然科学基金;
关键词：
Bishop–Stone–Weierstrass theorem; pure states; C*-algebras;
D O I：
暂无
中图分类号：
O177.5 [巴拿赫代数（赋范代数）、拓扑代数、抽象调和分析];
学科分类号：
070104 ;
摘要：
In this paper, we shall give an elementary proof of a Bishop-Stone-Weierstrass theorem for (M2(C))n with respect to its pure states. To be more precise, we shall show that the pure-state Bishop hull of a unital subalgebra (not necessarily self-adjoint) of (M2(C))n is equal to itself.
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页码：1515 / 1534
页数：20
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