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Square Functions, Complete Crouzeix Conjecture in Dimension Three, and the Clouâtre-Ostermann-Ransford conjecture
We settle the complete Crouzeix conjecture for matrices of order at most three and prove the Q-algebra case of the completely bounded Clouâtre-Ostermann-Ransford (COR) conjecture for homomorphisms into matrices of order at most three, via sharp abstract column and row estimates. Our approach also es
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