2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152386The paper contains the proof, in dimension 2, of a conjecture of R. G. Douglas and V. Paulsen concerning the characterization of the ideals of polynomials which are closed in the relative topology induced by the Hardy space of the polydisk.LATEXFunctional Analysistext