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Operator spaces with the WEP, the OLLP and the Gurarii property

Gilles Pisier
arXiv e-prints
Apr 2021
摘要
We construct non-exact operator satisfying the Weak Expectation Property (WEP) and the Operator space version of the Local Lifting Property (OLLP). These examples should be compared with the example we recently gave of a $C^*$-algebra with WEP and LLP. The construction produces several new analogues among operator of the space, extending Oikhberg's previous work. Each of our Gurarii operator spaces is associated to a class of finite dimensional operator (with suitable properties). In each case we show the space exists and is unique up to completely isometric isomorphism.
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