BOUNDED INJECTIVITY AND HAAGERUP TENSOR PRODUCT

被引：1

作者：

Asadi, Mohammad B. ^{[1
,2
]}

Medghalchi, Alireza ^{[3
]}

Nikpey, Hamed ^{[3
]}

机构：

[1] Univ Tehran, Coll Sci, Sch Math Stat & Comp Sci, Tehran, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

[3] Kharazmi Univ, Fac Math Sci & Comp, Tehran, Iran

来源：

GLASNIK MATEMATICKI | 2013年 / 48卷 / 01期

关键词：

Operator system; injective operator space; bounded injective operator space; Haagerup tensor product;

D O I：

10.3336/gm.48.1.09

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that if V subset of B(H) is an injective operator system on a separable Hilbert space H, then V circle times(h) W is b-injective for any operator system W if and only if V is finite dimensional.

引用

页码：97 / 102

页数：6