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math.OA2026
Operator Systems in Duality
Markus Dannemüller, Tim Netzer
The usual dual of an infinite-dimensional order-unit space need not carry an order unit, and this is the main reason why duality for operator systems is notoriously hard. Rather th…
math.OA2026
On Subhomogeneous Operator Systems
Markus Dannemüller, Tim Netzer
We study subhomogeneity for finite-dimensional operator systems, and collect and extend characterizations in terms of the -envelope, -maximality, complete positivity, dual…
math.OA2025
Lifts of Operator Systems
Markus Dannemüller, Tim Netzer
We transfer the theory of slack operators and sums-of-squares-criteria for lifts from convex cones to operator systems. These allow to study the following question, among others: G…