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math.FA2026
Factorization through Lorentz cones
Guillaume Aubrun, Francesca La Piana, Alexander Müller-Hermes
A pair of proper cones is said to have the Lorentz factorization property (LFP) if every -positive map factors through a…
math.FA2024
Limit formulas for norms of tensor power operators
Guillaume Aubrun, Alexander Müller-Hermes
Given an operator between Banach spaces, we consider its tensor powers as operators from the -fold injective tensor product of to the -…
math.FA2021
Asymptotic Tensor Powers of Banach Spaces
Guillaume Aubrun, Alexander Müller-Hermes
We study the asymptotic behaviour of large tensor powers of normed spaces and of operators between them. We define the tensor radius of a finite-dimensional normed space as the…