%0 Journal Article
%T Analytic cohomology in a Banach space
%A Imre Patyi
%J Mathematics
%D 2005
%I arXiv
%X Among 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.
%U http://arxiv.org/abs/math/0507520v1