5 papers
Skew fields of non-commutative meromorphic functions affiliated to finite operator algebras
Méric L. Augat, Robert T. W. Martin, Maximilian Tornes +1
We embed skew fields of meromorphic functions in several non-commuting variables into the topological algebra of closed linear operators affiliated to a finite von Neumann alge…
On the Shalit-Shamovich Spectral Radius
Maximilian Tornes
We show that the spectral radius introduced by Shalit and Shamovich uniquely determines the underlying operator space structure: If E_1 and E_2 are operator space structures on C^d…
Cyclicity of stable matrix free polynomials over non-commutative operator unit balls
Jeet Sampat, Maximilian Tornes
We consider the algebra of square matrices of bounded non-commutative (NC) functions over NC operator unit balls (unit balls corresponding to finite-dimensional operator spaces) an…
Operator realizations about a matrix-centre
Ali Karoobi, Robert T. W. Martin, Maximilian Tornes
We develop a general theory of operator realizations, or ``linear representations" of analytic functions in several non-commuting variables about a matrix-centre. In particular we…
Weighted composition operators on Hilbert function spaces on the ball
Michael Hartz, Maximilian Tornes
A weighted composition operator on a reproducing kernel Hilbert space is given by a composition, followed by a multiplication. We study unitary and co-isometric weighted compositio…