Every Bessel sequence with Bessel bound 1 has a sharp Gram-matrix representation by functions in the unit ball of L∞([0,1]), and this yields an optimal solution to Olevskii's orthonormal extension problem.
Résumé de la théorie métrique des produits tensoriels topologiques
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Grothendieck's theorem for Bessel sequences
Every Bessel sequence with Bessel bound 1 has a sharp Gram-matrix representation by functions in the unit ball of L∞([0,1]), and this yields an optimal solution to Olevskii's orthonormal extension problem.