10 citations · 67 across the 20 of their papers we have counts for
8 papers · 1 filter
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…
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…
Shuffle Algebras and Non-Commutative Probability for Pairs of Faces
Joscha Diehl, Malte Gerhold, Nicolas Gilliers
One can build an operatorial model for freeness by considering either the right-handed or the left-handed representation of algebras of operators acting on the free product of the…
Dilations of unitary tuples
Malte Gerhold, Satish K. Pandey, Orr Shalit +1
We study the space of all -tuples of unitaries using dilation theory and matrix ranges. Given two -tuples and generating C*-algebras $\mathcal A…
On the matrix range of random matrices
Malte Gerhold, Orr Shalit
This note treats a simple minded question: what does a typical random matrix range look like? We study the relationship between various modes of convergence for tuples of operators…
Dilations of -commuting unitaries
Malte Gerhold, Orr Shalit
Let (where ), and let be -commuting unitaries, i.e., and are unitaries such that . In this paper we find th…
Interacting Fock Spaces and Subproduct Systems
Malte Gerhold, Michael Skeide
We prove many new results about interacting Fock spaces. We pose many open problems; for most of them we prove that their solutions have no choice but being nontrivial. We ask the…
Bimonotone Brownian Motion
Malte Gerhold
We define bi-monotone independence, prove a bi-monotone central limit theorem and use it to study the distribution of bi-monotone Brownian motion, which is defined as the two-dimen…