Bounded reflexivity of operator spaces

被引：4
|
作者：
Li, JK [1 ]
Pan, ZD
机构：
[1] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada
[2] Saginaw Valley State Univ, Dept Math, Univ Ctr, MI 48710 USA
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2004年 / 48卷 / 01期
关键词：
bounded reflexivity; separating vector; complete positivity;
D O I：
10.1007/s00020-002-1175-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a concept "bounded reflexivity" for a subspace of operators on a normed space. We explore the properties of bounded reflexivity, study the similarities and differences between bounded reflexivity and the usual reflexivity for a subspace of operators. As applications of bounded reflexivity, we give alternative proofs of some well known results about positivity and complete positivity of elementary operators.
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页码：41 / 59
页数：19
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