Mapping cones of positive maps

2009/06/02 by Stormer, Erling
#46L30 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.0906.0472

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.

Related

• Duality of cones of positive maps
• Mapping cones and separable states
• A completely positive map associated with a positive map
• Tensor products of positive maps of matrix algebras
• Maps on positive cones in operator algebras preserving power means