3 papers
math.FA2026
Empirical bounds for commuting dilations of free unitaries and the universal commuting dilation constant
Malte Gerhold, Marcel Scherer, Orr Shalit
For a tuple of Hilbert space operators, the 'commuting dilation constant' is the smallest number such that the operators of are a simultaneous compression of commuting…
math.QA2025
Schoenberg correspondence for multifaced independence
Malte Gerhold
We extend the Schoenberg correspondence for universal independences by Schürmann \& Voà to the multivariate setting of Manzel \& Schürmann, covering, e.g., Voiculescu's bifreene…
math.OA2025
Linear Deformations of Heisenberg Modules and Gabor Frames
Malte Gerhold, Arvin Lamando, Franz Luef
Heisenberg modules over noncommutative tori may also be viewed as Gabor frames. Building on this fact, we relate to deformations of noncommutative tori a bundle of Banach spaces in…