Positive combinations of projections in von Neumann algebras and purely infinite simple C*-algebras

作     者：KAFTAL Victor NG PingWong ZHANG Shuang 

作者机构：Department of Mathematics University of Cincinnati Cincinnati Ohio 45221-0025 USA Department of Mathematics University of Louisiana at Lafayatte Lafayette Louisiana 70504-1010 USA 

基　　金：supported by Taft International Travel Grant 

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      码：2383-2393页

摘      要：We give an overview of the question： which positive elements in an operator algebra can be written as a linear combination of projections with positive coefficients. A special case of independent interest is the question of which positive elements can be written as a sum of finitely many projections. We focus on von Neumann Mgebras, on purely infinite simple C^＊-algebras, and on their associated multiplier algebras.

主 题 词：C^*-algebras linear combinations positive combinations projections 

学科分类：07[理学] 08[工学] 070104[070104] 0835[0835] 0701[理学-数学类] 081202[081202] 0812[工学-测绘类] 

核心收录：

D　O　I：10.1007/s11425-011-4253-2

馆 藏 号：203104847...