17 citations · 109 across the 45 of their papers we have counts for
51 papers
Towards a noncommutative theory of Cowen-Douglas class of noncommuting operators
Prahllad Deb, Victor Vinnikov
The classical Cowen-Douglas class of (commuting tuples of) operators possessing an open set of (joint) eigenvalues of finite constant multiplicity was introduced by Cowen and Dougl…
Strictly Stable Hurwitz Polynomials and their Determinantal Representations
Victor Vinnikov, Hugo J. Woerdeman
We establish various certifying determinantal representation results for a polynomial that contains as a factor a prescribed multivariable polynomials that is strictly stable on a…
Infinite-dimensional moment-SOS hierarchy for nonlinear partial differential equations
Didier Henrion, Maria Infusino, Salma Kuhlmann +1
We formulate a class of nonlinear {evolution} partial differential equations (PDEs) as linear optimization problems on moments of positive measures supported on infinite-dimensiona…
Free noncommutative hereditary kernels: Jordan decomposition, Arveson extension, kernel domination
Joseph A. Ball, Gregory Marx, Victor Vinnikov
We discuss a (i) quantized version of the Jordan decomposition theorem for a complex Borel measure on a compact Hausdorff space, namely, the more general problem of decomposing a g…
Noncommutative Christoffel-Darboux Kernels
Serban T. Belinschi, Victor Magron, Victor Vinnikov
We introduce from an analytic perspective Christoffel-Darboux kernels associated to bounded, tracial noncommutative distributions. We show that properly normalized traces, respecti…
Realizations of non-commutative rational functions around a matrix centre, II: The lost-abbey conditions
Motke Porat, Victor Vinnikov
In a previous paper the authors generalized classical results of minimal realizations of non-commutative (nc) rational functions, using nc Fornasini--Marchesini realizations which…