Robert T. W. Martin

activity

20152026

collaborators

Showing math.FAShow all

3 papers · 1 filter

math.FA2026

A non-commutative de Branges-Rovnyak model for row contractions

Robert T. W. Martin, Jeet Sampat

We extend the de Branges-Rovnyak model for completely non-coisometric (CNC) linear contractions on a Hilbert space to the non-commutative multivariate setting of CNC row contractio…

math.FA2025

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…

math.FA2024

Operator realizations of non-commutative analytic functions

Méric L. Augat, Robert T. W. Martin, Eli Shamovich

A realization is a triple, $(A, b, c)$ , consisting of a $d -$ tuple, $A = (A =_{1}, \dots, A_{d})$ , $d \in N$ , of bounded linear operators on a separable, complex Hilbert space, $…