Raphael Clouatre

collaborators

2 papers

math.OA2025

A new obstruction to Arveson's hyperrigidity conjecture

Raphaël Clouâtre

Let $A$ be a unital $C^{*}$ -algebra containing a closed two-sided ideal $J$ and an operator system $X$ . We enlarge $X$ to an operator system $S (X, J)$ in $M_{2} (A)$ ,…

math.NA2023

Lifting Sylvester equations: singular value decay for non-normal coefficients

Raphaël Clouâtre, Brock Klippenstein, Richard Mikaël Slevinsky

We aim to find conditions on two Hilbert space operators $A$ and $B$ under which the expression $A X - X B$ having low rank forces the operator $X$ itself to admit a good low rank appr…