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arxiv: 1101.2114 · v1 · pith:JESVKUVFnew · submitted 2011-01-11 · 🧮 math.OA

Tensor products of positive maps of matrix algebras

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keywords positivealgebrasconditionsconemapsmatrixtensorwhen
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We give conditions for when the tensor product of two positive maps between matrix algebras is a positive map. This happens when one map belongs to a symmetric mapping cone and the other to the dual cone. Necessary and sufficient conditions are given.

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