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math.OA2022★ 2 cited
Non-commutative rational Clark measures
Michael T. Jury, Robert T. W. Martin, Eli Shamovich
We characterize the non-commutative Aleksandrov--Clark measures and the minimal realization formulas of contractive and, in particular, isometric non-commutative rational multiplie…
math.OA2019
Noncommutative Choquet simplices
Matthew Kennedy, Eli Shamovich
We introduce a notion of noncommutative Choquet simplex, or briefly an nc simplex, that generalizes the classical notion of a simplex. While every simplex is an nc simplex, there a…
math.OA2018
Nevanlinna-Pick Families and Singular Rational Varieties
Kenneth R. Davidson, Eli Shamovich
The goal of this note is to apply ideas from commutative algebra (a.k.a. affine algebraic geometry) to the question of constrained Nevanlinna-Pick interpolation. More precisely, we…