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math.OA2025
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…
math.OA2025
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…
math.OA2025
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…