Analytic cohomology in a Banach space
Complex Variables
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0507520,
title = {Analytic cohomology in a Banach space},
author = {Imre Patyi},
journal= {arXiv preprint arXiv:math/0507520},
year = {2007}
}
Comments
35 pages