Leibniz seminorms and best approximation from C*-subalgebras

被引：0
|
作者：
Marc A. Rieffel
机构：
[1] University of California,Department of Mathematics
来源：
Science China Mathematics | 2011年 / 54卷
关键词：
*-subalgebras; best approximation; distance formula; Leibniz inequality; strongly-Leibniz; minimal elements; 46L87; 53C23; 58B34; 81R15; 81R30;
D O I：
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学科分类号：
摘要：
We show that if B is a C*-subalgebra of a C*-algebra A such that B contains a bounded approximate identity for A, and if L is the pull-back to A of the quotient norm on A/B, then L is strongly Leibniz. In connection with this situation we study certain aspects of best approximation of elements of a unital C*-algebra by elements of a unital C*-subalgebra.
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页码：2259 / 2274
页数：15
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