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math.FA2024
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…
math.FA2021
The operator system of Toeplitz matrices
Douglas Farenick
A recent paper of A.~Connes and W.D.~van Suijlekom identifies the operator system of Toeplitz matrices with the dual of the space of all trigonometric polynomials of de…
math.FA2015
Isometries of the Toeplitz Matrix Algebra
Douglas Farenick, Mitja Mastnak, Alexey I. Popov
We study the structure of isometries defined on the algebra of upper-triangular Toeplitz matrices. Our first result is that a continuous multiplicative isometry $\mat…