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
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
收藏
页码:97 / 102
页数:6
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