3 papers
math.OA2023
A boundary projection for the dilation order
Raphaël Clouâtre, Hridoyananda Saikia
Motivated by Arveson's conjecture, we introduce a notion of hyperrigidity for a partial order on the state space of a -algebra . We show how this property is equivalent to…
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 and under which the expression having low rank forces the operator itself to admit a good low rank appr…
math.OA2022
Minimal boundaries for operator algebras
Raphaël Clouâtre, Ian Thompson
We study boundaries for unital operator algebras. These are sets of irreducible -representations that completely capture the spatial norm attainment for a given subalgebra. Clas…