2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75907We introduce a class of analytic sheaves in a Banach space X, that we call cohesive sheaves. Cohesion is meant to generalize the notion of coherence from finite dimensional analysis. Accordingly, we prove the analog of Cartan's Theorems A and B for cohesive sheaves over pseudoconvex open subsets of X, provided X has an unconditional basis.38 pagesComplex Variables32C35, 46G20, 32Ttext