43 citations · 100 across the 21 of their papers we have counts for
31 papers
Generating $\psl{2}{q}$ by elements of prime orders and
Douglas Farenick, Roghayeh Maleki, Sofia Medina Varela +1
For primes , we determine those for which the projective special linear group $\psl{2}{q}$ over the finite field of order is -generated -- that is, there ex…
Representations of noncommutative cubes and prisms
Douglas Farenick, Roghayeh Maleki, Sofia Medina Varela +1
Representations of the operator system determined by the canonical generators of the free product of two cyclic groups of order and , or cyclic groups of order , are…
Geometry of essential matrix ranges and the Smith-Ward problem for operator systems
Douglas Farenick, Chi-Kwong Li, Sushil Singla
A -tuple of bounded linear selfadjoint operators acting on an infinite-dimensional separable Hilbert space is said to have the Smith-Ward property if the identity map of the ima…
Matrix convexity and unitary power dilations of Toeplitz-contractive operator tuples
Douglas Farenick
Using works of T.~Ando and L.~Gurvits, the well-known theorem of P.R.~Halmos concerning the existence of unitary dilations for contractive linear operators acting on Hilbert spaces…
Categorical relations and bipartite entanglement in tensor cones for Toeplitz and Fejér-Riesz operator systems
Douglas Farenick
The present paper aims to understand separability and entanglement in tensor cones, in the sense of Namioka and Phelps, that arise from the base cones of operator system tensor pro…
Toeplitz separability, entanglement, and complete positivity using operator system duality
Douglas Farenick, Michelle McBurney
A new proof is presented of a theorem of L.~Gurvits, which states that the cone of positive block-Toeplitz matrices with matrix entries has no entangled elements. The proof of the…