Leibniz seminorms and best approximation from C*-subalgebras

作     者：RIEFFEL Marc A 

作者机构：Department of MathematicsUniversity of CaliforniaBerkeleyCA 94720-3840USA 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2011年第54卷第11期

页      面：2259-2274页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported in part by US National Science Foundation (Grant No. DMS-0753228) 

主　　题：C^*-subalgebras best approximation distance formula Leibniz inequality strongly-Leibniz minimal elements 

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 *** 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.