3 papers
math.FA2025
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.OA2024
Dilation distance and the stability of ergodic commutation relations
Malte Gerhold, Orr Shalit
We revisit and generalize the notion of dilation distance between unitary tuples and study its relation to the natural Haagerup-Rørdam distance ${\rm d_{HR}}(u,v…
math.OA2024
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…