A strict version of the non-commutative Urysohn Lemma

被引：5
|
作者：
Pedersen, GK
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 09期
关键词：
strictly positive element; hereditary C*-subalgebra; Q-commuting algebras; approximative units;
D O I：
10.1090/S0002-9939-97-03861-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given a pair B, C of q-commuting, hereditary C*-subalgebras of a unital C*-algebra A, such that B boolean AND C is sigma-unital and 1 is an element of B + C, there is an element h in A, with 0 less than or equal to h less than or equal to 1, such that II is strictly positive in B and 1 - h is strictly positive in in C. Moreover, h - h(2) is strictly positive in in B boolean AND C.
引用
收藏
页码：2657 / 2660
页数：4
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