Separable morphisms of operator Hilbert systems, Pietsch factorizations and entanglement breaking maps
Operator Algebras
2019-03-29 v2 Functional Analysis
Abstract
In this paper we investigate operator Hilbert systems and their separable morphisms. We prove that the operator Hilbert space of Pisier is an operator system, which possesses the self-duality property. It is established a link between unital positive maps and Pietch factorizations, which allows us to describe all separable morphisms from an abelian C*-algebra to an operator Hilbert system. Finally, we prove a key property of entanglement breaking maps that involves operator Hilbert systems.
Cite
@article{arxiv.1811.01170,
title = {Separable morphisms of operator Hilbert systems, Pietsch factorizations and entanglement breaking maps},
author = {Anar Dosi},
journal= {arXiv preprint arXiv:1811.01170},
year = {2019}
}
Comments
42 pages