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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.FA2025
Operator theory and function theory in Drury-Arveson space and its quotients
Michael Hartz, Orr Shalit
The Drury-Arveson space , also known as symmetric Fock space or the -shift space, is a Hilbert function space that has a natural -tuple of operators acting on it, whic…