71 citations · 146 across the 21 of their papers we have counts for
26 papers
Skew fields of non-commutative meromorphic functions affiliated to finite operator algebras
Méric L. Augat, Robert T. W. Martin, Maximilian Tornes +1
We embed skew fields of meromorphic functions in several non-commuting variables into the topological algebra of closed linear operators affiliated to a finite von Neumann alge…
On the spectral radius of operator tuples
Marcel Scherer, Orr Shalit, Eli Shamovich
In recent work, Shalit and Shamovich associated to every operator space structure on a spectral radius function on -tuples of oper…
Rings of non-commutative functions and their fields of fractions
Méric L. Augat, Robert T. W. Martin, Eli Shamovich
Semi-free ideal rings, or semifirs, were introduced by Paul M. Cohn to study universal localizations in the non-commutative setting. We provide new examples of semifirs consisting…
Global structure behind pointwise equivalences of noncommutative polynomials
Eli Shamovich, Jurij Volčič
This paper investigates the interplay between local and global equivalences on noncommutative polynomials, the elements of the free algebra. When the latter are viewed as functions…
Boundary representations from constrained interpolation
Gal Ben Ayun, Eli Shamovich
In this paper, we study -envelopes of finite-dimensional operator algebras arising from constrained interpolation problems on the unit disc. In particular, we consider interpo…
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…