A non-extendable bounded linear map between C*-algebras

被引：0
|
作者：
Ozawa, N [1 ]
机构：
[1] Texas A&M Univ, College Stn, TX 77843 USA
[2] Univ Tokyo, Komaba 1538914, Japan
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2001年 / 44卷
关键词：
bounded linear extensions; non-exact Q-spaces;
D O I：
10.1017/S0013091599000978
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present an example of a C*-subalgebra A of B(H) and a bounded linear map from A to B(K) which does not admit any bounded linear extension. This generalizes the result of Robertson and gives the answer to a problem raised by Pisier. Using the same idea, we compute the exactness constants of some Q-spaces. This solves a problem raised by Oikhberg. We also construct a Q-space which is not locally reflexive.
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页码：241 / 248
页数：8
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