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An Extremal Formula for Elliptical Width and the Bourin--Lee Conjecture
Let \(X\in M_n(\mathbb C)\), \(n\geq2\), and let \[ δ_2(X) = \sup_{\dim S=2}δ(X_S), \] where \(X_S\) denotes the compression of \(X\) to \(S\), and \(δ(X_S)\) is the diameter of the largest disk contained in the numerical range \(W(X_S)\). Bourin and Lee proved that every positive
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