Raphael Clouatre

activity

20112025

most citedA Beurling-Lax-Halmos theorem for spaces with a complete Nevanlinna-Pick factor

10 citations · 24 across the 19 of their papers we have counts for

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Showing 2024Show all

2 papers · 1 filter

math.OA2024

Rigidity of operator systems: tight extensions and noncommutative measurable structures

Raphaël Clouâtre, Ian Thompson

Let $A$ be a unital $C^{*}$ -algebra generated by some separable operator system $S$ . More than a decade ago, Arveson conjectured that $S$ is hyperrigid in $A$ if all irreducible repr…

math.OA2024

Null projections and noncommutative function theory in operator algebras

David P. Blecher, Raphaël Clouâtre

We study projections in the bidual of a $C^{*}$ -algebra $B$ that are null with respect to a subalgebra $A$ , that is projections $p \in B^{**}$ satisfying $∣ ϕ ∣ (p) = 0$ for every $ϕ\in B^…