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articleNo Access
An approximation property for operator systems
- Wei Wu
Infinite Dimensional Analysis, Quantum Probability and Related Topics01 Mar 2019
Preview Abstract
Motivated by an observation of Namioka and Phelps on an approximation property of order unit spaces, we introduce the $p$ $p$ -tensor product and the $m$ $m$ -tensor product of two compact matrix convex sets. We define a new approximation property for operator systems, and give a characterization using the $p$ $p$ - and $m$ $m$ -tensor products in the spirit of Grothendieck. Thus, an operator system has the operator system approximation property if and only if it is $(p, m)$ $(p, m)$ -nuclear in a natural sense.

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