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A Decomposition Theorem for Positive Maps, and the Projection Onto a Spin Factor

Erling Størmer


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 studied in detail for the projection onto a spin factor.

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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