Separable morphisms of operator Hilbert systems, Pietsch factorizations and entanglement breaking maps

Anar Dosi

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arXiv · 1811.01170

Separable morphisms of operator Hilbert systems, Pietsch factorizations and entanglement breaking maps

Anar Dosi

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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.

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Anar Dosi. 2018-11-03. Separable morphisms of operator Hilbert systems, Pietsch factorizations and entanglement breaking maps. https://arxiv.org/abs/1811.01170

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