中文

Analytic sheaves in Banach spaces

复变函数 2007-05-23 v1

摘要

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.

关键词

引用

@article{arxiv.math/0507549,
  title  = {Analytic sheaves in Banach spaces},
  author = {Laszlo Lempert},
  journal= {arXiv preprint arXiv:math/0507549},
  year   = {2007}
}

备注

38 pages