2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134148We compute the Dixmier trace of pseudo-Toeplitz operators on the Fock space. As an application we find a formula for the Dixmier trace of the product of commutators of Toeplitz operators on the Hardy and weighted Bergman spaces on the unit ball of \mathbb C^d. This generalizes an earlier work of Helton-Howe for the usual trace of the anti-symmetrization of Toeplitz operators.Proc. Amer. Math. Soc. to appearComplex VariablesFunctional Analysistext