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.

引用

页码：41 / 59

页数：19

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