A bishop-stone-weierstrass theorem for (M 2(C)) n

被引：0
|
作者：
Li, Qi Hui [1 ]
Hadwin, Don [2 ]
机构：
[1] E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China
[2] Univ New Hampshire, Dept Math & Stat, Durham, NH 03824 USA
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2013年 / 29卷 / 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; CSTAR-ALGEBRAS; MAPS;
D O I：
10.1007/s10114-013-2513-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we shall give an elementary proof of a Bishop-Stone-Weierstrass theorem for (M (2)(a",)) (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 (M (2)(a",)) (n) is equal to itself.
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页码：1515 / 1534
页数：20
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