From the 1 of 5 linked papers with an AI index.
5 papers
Representations of noncommutative cubes and prisms
Douglas Farenick, Roghayeh Maleki, Sofia Medina Varela +1
The paper investigates representations of operator systems generated by free products of cyclic groups to analyze the structure of noncommutative cubes and prisms, examining proper…
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…
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…
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…
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…