74 citations · 570 across the 43 of their papers we have counts for
52 papers
Addendum to "Factoring non-negative operator valued trigonometric polynomials in two variables"
Michael A. Dritschel, Igor Klep, Scott McCullough +1
Factorization for positive semidefinite matrix-valued polynomials over a nonsingular compact affine real surface is established. Corollaries include Fejér-Riesz factorization for b…
Completely Positive Matrix Products
Eric Evert, Michael T. Jury, Scott McCullough
Building on recent works that investigate positivity preserving matrix products, we {examine} the class of \JCP (\jcp) matrix products. A bilinear map on the Cartesian product of t…
Reinhardt Free Spectrahedra
Munir Ben Jemaa, Scott McCullough
The automorphism group of a particular free spectrahedron is determined via a novel argument involving algebraic methods.
Bilinear matrix inequalities and polynomials in several freely noncommuting variables
Sriram Balasubramanian, Neha Hotwani, Scott McCullough
Matrix-valued polynomials in any finite number of freely noncommuting variables that enjoy certain canonical partial convexity properties are characterized, via an algebraic certif…
Geometric Dilations and Operator Annuli
Scott McCullough, James E. Pascoe
Fix 1<R. The dilation theory for the quantum annulus, consisting of those invertible Hilbert space operators T such that the norm of T and its inverse are both at most R is determi…
Convexity of a certain operator trace functional
Eric Evert, Scott McCullough, Tea Štrekelj +1
In this article the operator trace function is introduced and its convexity and concavity properties are investigated.…