A decomposition theorem for positive maps, and the projection onto a spin factor

Erling St{\o}rmer

A decomposition theorem for positive maps, and the projection onto a spin factor

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arxiv 1308.3332 v2 pith:LSVLBCLN submitted 2013-08-15 math.FA

Erling St{o}rmer This is my paper · ORCID

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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