An approximation property for operator systems
2019 ◽
Vol 22
(01)
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pp. 1950005
Keyword(s):
Motivated by an observation of Namioka and Phelps on an approximation property of order unit spaces, we introduce the [Formula: see text]-tensor product and the [Formula: see text]-tensor product of two compact matrix convex sets. We define a new approximation property for operator systems, and give a characterization using the [Formula: see text]- and [Formula: see text]-tensor products in the spirit of Grothendieck. Thus, an operator system has the operator system approximation property if and only if it is [Formula: see text]-nuclear in a natural sense.
1996 ◽
Vol 120
(1)
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pp. 147-153
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2015 ◽
Vol 92
(1)
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pp. 123-132
2012 ◽
Vol 111
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pp. 210
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2016 ◽
Vol 101
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pp. 356-375
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2017 ◽
Vol 96
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pp. 274-285
1980 ◽
Vol 21
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pp. 281-301
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1975 ◽
Vol 78
(2)
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pp. 301-307
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