Lauritz van Luijk

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math.OA2025

Soft inductive limits of operator systems and a noncommutative Lazar-Lindenstrauss theorem

Kristin Courtney, Niklas Galke, Lauritz van Luijk +1

We establish a flexible generalization of inductive systems of operator systems, which relaxes the usual transitivity (or coherence) condition to an asymptotic version thereof and…

math.OA2025

Revisiting the operator extension of strong subadditivity

Lauritz van Luijk, Alexander Stottmeister, Henrik Wilming

We give a new proof of the operator extension of the strong subadditivity of von Neumann entropy $I ¨ _{A B} \otimes I ¨ _{C}^{- 1} \leq I ¨ _{A} \otimes I ¨ _{B C}^{- 1}$ by identifying the m…