Analytic sheaves in Banach spaces
Complex Variables
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0507549,
title = {Analytic sheaves in Banach spaces},
author = {Laszlo Lempert},
journal= {arXiv preprint arXiv:math/0507549},
year = {2007}
}
Comments
38 pages