Geodesic
On the Local Lifting Properties of Operator Spaces
Canadian journal of mathematics, Tome 61 (2009) no. 6, pp. 1262-1278

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In this paper, we mainly study operator spaces which have the locally lifting property $\left( \text{LLP} \right)$ . The dual of any ternary ring of operators is shown to satisfy the strongly local reflexivity, and this is used to prove that strongly local reflexivity holds also for operator spaces which have the $\text{LLP}$ . Several homological characterizations of the $\text{LLP}$ and weak expectation property are given. We also prove that for any operator space $V$ , ${{V}^{**}}$ has the $\text{LLP}$ if and only if $V$ has the $\text{LLP}$ and ${{V}^{*}}$ is exact.
DOI : 10.4153/CJM-2009-059-7
Mots-clés : 46L07, operator space, locally lifting property, strongly locally reflexive 
Dong, Z. On the Local Lifting Properties of Operator Spaces. Canadian journal of mathematics, Tome 61 (2009) no. 6, pp. 1262-1278. doi: 10.4153/CJM-2009-059-7
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     journal = {Canadian journal of mathematics},
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     year = {2009},
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