2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/33419This paper presents a solution to a problem from superanalysis about the existence of Hilbert-Banach superalgebras. Two main results are derived: 1) There exist Hilbert norms on some graded algebras (infinite-dimensional superalgebras included) with respect to which the multiplication is continuous. 2) Such norms cannot be chosen to be submultiplicative and equal to one on the unit of the algebra.8 pages, extended introduction and list of referencesFunctional AnalysisOperator Algebras16W50, 46C05, 46H25text