71 citations · 454 across the 48 of their papers we have counts for
52 papers
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…
A spectral radius for matrices over an operator space
Orr Shalit, Eli Shamovich
With every operator space structure on , we associate a spectral radius function on -tuples of operators. For a -tuple $X = (X_1…
Weak-* and completely isometric structure of noncommutative function algebras
Jeet Sampat, Orr Shalit
We study operator algebraic and function theoretic aspects of algebras of bounded nc functions on subvarieties of the nc domain determined by all levels of the unit ball of an oper…
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…
On the classification of function algebras on subvarieties of noncommutative operator balls
Jeet Sampat, Orr Shalit
We study algebras of bounded noncommutative (nc) functions on unit balls of operator spaces (nc operator balls) and on their subvarieties. Considering the example of the nc unit po…
Tensor algebras of subproduct systems and noncommutative function theory
Michael Hartz, Orr Shalit
We revisit tensor algebras of subproduct systems with Hilbert space fibers, resolving some open questions in the case of infinite dimensional fibers. We characterize when a tensor…