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math.FA2026
Cyclicity of stable matrix free polynomials over non-commutative operator unit balls
Jeet Sampat, Maximilian Tornes
We consider the algebra of square matrices of bounded non-commutative (NC) functions over NC operator unit balls (unit balls corresponding to finite-dimensional operator spaces) an…
math.FA2026
A non-commutative de Branges-Rovnyak model for row contractions
Robert T. W. Martin, Jeet Sampat
We extend the de Branges-Rovnyak model for completely non-coisometric (CNC) linear contractions on a Hilbert space to the non-commutative multivariate setting of CNC row contractio…
math.FA2024★ 1 cited
Shift-cyclicity in analytic function spaces
Jeet Sampat
In this survey, we consider Banach spaces of analytic functions in one and several complex variables for which: (i) polynomials are dense, (ii) point-evaluations on the domain are…