%0 Journal Article
%T Analytic sheaves in Banach spaces
%A Laszlo Lempert
%J Mathematics
%D 2005
%I arXiv
%X We 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.
%U http://arxiv.org/abs/math/0507549v1