Mapping cones of positive maps
Operator Algebras
2009-12-10 v2 Mathematical Physics
math.MP
Abstract
This is a revised form of the previous paper in which we study cones of positive maps of B(H) into itself. We add the result that the dual cone of a symmetric mapping cone is itself a symmetric mapping cone. As applications we obtain characterizations of linear functionals with strong positivity conditions with respect to a class of mapping cones called symmetric mapping cones. Applications are given to separable and PPT-states.
Cite
@article{arxiv.0906.0472,
title = {Mapping cones of positive maps},
author = {Erling Stormer},
journal= {arXiv preprint arXiv:0906.0472},
year = {2009}
}