2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149466We give a formula for the tail of the distribution of the non-commutative Rademacher series, which generalizes the result that is already available in the commutative case. As a result, we are able to calculate the norm of these series in many rearrangement invariant spaces, generalizing work of Pisier and Rodin and Semyonov.Functional Analysis60G50text