Méric L. Augat

activity

20202025

most citedOperator NC functions

1 citations · 1 across the 3 of their papers we have counts for

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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, $…

math.FA2022

An Optimal Approximation Problem For Free Polynomials

Palak Arora, Meric Augat, Michael Jury +1

Motivated by recent work on optimal approximation by polynomials in the unit disk, we consider the following noncommutative approximation problem: for a polynomial $f$ in $d$ freel…

math.FA2020

Effective noncommutative Nevanlinna-Pick interpolation in the row ball, and applications

Meric Augat, Michael T. Jury, James Eldred Pascoe

We provide an effective single-matrix criterion, in terms of what we call the elementary Pick matrix, for the solvability of the noncommutative Nevanlinna-Pick interpolation proble…