A decomposition theorem for positive maps, and the projection onto a spin factor
classification
🧮 math.FA
keywords
positivefactorontoprojectionspinalgebrasanalyzedatomic
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It is shown that each positive map between matrix algebras is the sum of a maximal decomposable map and an atomic map which is both optimal and co-optimal. The result is analyzed in detail for the positive projection onto a spin factor.
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