6 citations · 11 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
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…
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…
Jointly cyclic polynomials and maximal domains
Mikhail Mironov, Jeet Sampat
For a (not necessarily locally convex) topological vector space of holomorphic functions in one complex variable, we show that the shift invariant subspace generated…
On the classification of function algebras on subvarieties of noncommutative operator balls
Jeet Sampat, Orr Shalit
We study algebras of bounded noncommutative (nc) functions on unit balls of operator spaces (nc operator balls) and on their subvarieties. Considering the example of the nc unit po…
Cyclicity preserving operators on spaces of analytic functions in
Jeet Sampat
For spaces of analytic functions defined on an open set in that satisfy certain nice properties, we show that operators that preserve shift-cyclic functions are nece…