2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230029The aim of this paper is to prove a stronger version of a conjecture on the existence of non-dominated scalar-valued m-homogeneous polynomials (m>=3) on arbitrary infinite dimensional Banach spaces.9 pagesFunctional Analysis46B15; 46G25Dominated polynomials on infinite dimensional spacestext