A decomposition theorem for positive maps, and the projection onto a spin factor
Functional Analysis
2013-08-19 v2
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 analyzed in detail for the positive projection onto a spin factor.
Keywords
Cite
@article{arxiv.1308.3332,
title = {A decomposition theorem for positive maps, and the projection onto a spin factor},
author = {Erling Størmer},
journal= {arXiv preprint arXiv:1308.3332},
year = {2013}
}
Comments
12 pages