Elementary operators on standard operator algebras

被引：21
|
作者：
Molnár, L
Semrl, P
机构：
[1] Univ Debrecen, Inst Math & Informat, H-4010 Debrecen, Hungary
[2] Univ Ljubljana, Dept Math, SI-1000 Ljubljana, Slovenia
来源：
LINEAR & MULTILINEAR ALGEBRA | 2002年 / 50卷 / 04期
基金：
匈牙利科学研究基金会;
关键词：
standard operator algebra; elementary operator;
D O I：
10.1080/03081080290025499
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a new simple proof of the structural result for elementary operators on standard operator algebras. Using the idea of this short proof we can characterize surjective maps between standard operator algebras having a certain multiplicativity-like property appearing in the abstract definition of elementary operators of length one. In particular, we show that such maps are automatically additive.
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页码：315 / 319
页数：5
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