2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75894Among other things, we show that the ideal sheaf of a complex Hilbert submanifold of a pseudoconvex open subset of Hilbert space is acyclic over the ambient pseudoconvex open set. We also prove a vanishing theorem for a fairly general class of analytic sheaves over pseudoconvex open sets of a large class of Banach spaces. Some applications are also given.35 pagesComplex Variables32L10text