3 papers
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.CV2025
Zeros of Holomorphic Functions in Commuting and Non-commuting Variables as Spectral Data
Poornendu Kumar, Jeet Sampat
We characterize the zero sets of functions in the Schur--Agler class over the unit polydisk as well as functions in the unit ball of the multiplier algebra of the Drury--Arveson sp…
math.OA2024
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…