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

Erling Størmer

doi:10.7146/math.scand.a-23300

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

Authors

Erling Størmer

DOI:

https://doi.org/10.7146/math.scand.a-23300

Abstract

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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Published

2016-03-07

How to Cite

Størmer, E. (2016). A Decomposition Theorem for Positive Maps, and the Projection Onto a Spin Factor. MATHEMATICA SCANDINAVICA, 118(1), 106–118. https://doi.org/10.7146/math.scand.a-23300