3 citations · 6 across the 15 of their papers we have counts for
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Finite-orbit obstructions for multipliers on the polydisk
Ilya Krishtal, Javad Mashreghi, Prateek Kumar Vishwakarma
We study the closed spans of finitely many joint orbits of holomorphic multipliers on the Hardy space of the polydisk. If fewer than symbols are used, every…
Hyperbolic distance matrix completion
Mihai Putinar, Prateek Kumar Vishwakarma
A completion theory for hyperbolic distance data is developed at the interface of matrix analysis, graph theory, and hyperbolic geometry. Krein's characterization of the metric spa…
Positivity preservers over finite fields II
Dominique Guillot, Himanshu Gupta, Prateek Kumar Vishwakarma +1
We say that a matrix over a finite field is positive definite if it is symmetric and each of its leading principal minors is a nonzero square in . In p…
Oppenheim--Schur inequalities for causal products
Dominique Guillot, Javad Mashreghi, Prateek Kumar Vishwakarma
We establish a class of Oppenheim--Schur-type inequalities for the convolutional Jury product of positive semidefinite matrices. These results extend to a causal convolutional sett…
Sharp lower bounds for generalized operator products
Dominique Guillot, Javad Mashreghi, Prateek Kumar Vishwakarma
We consider general bilinear products defined by positive semidefinite matrices. Typically non-commutative, non-associative, and non-unital, these products preserve positivity and…