10 citations · 67 across the 20 of their papers we have counts for
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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…
Towards a classification of multi-faced independences: a combinatorial approach
Malte Gerhold, Philipp Varšo
We determine a set of necessary conditions on a partition-indexed family of complex numbers to be the "highest coefficients" of a positive and symmetric multi-faced universal produ…
Bounded perturbations of the Heisenberg commutation relation via dilation theory
Malte Gerhold, Orr Shalit
We extend the notion of dilation distance to strongly continuous one-parameter unitary groups. If the dilation distance between two such groups is finite, then these groups can be…
Towards a Classification of Multi-Faced Independence: A Representation-Theoretic Approach
Malte Gerhold, Takahiro Hasebe, Michael Ulrich
We attack the classification problem of multi-faced independences, the first non-trivial example being Voiculescu's bi-freeness. While the present paper does not achieve a complete…
Subproduct systems and Cartesian systems; new results on factorial languages and their relations with other areas
Malte Gerhold, Michael Skeide
We point out that a sequence of natural numbers is the dimension sequence of a subproduct system if and only if it is the cardinality sequence of a word system (or factorial langua…