Analytic sheaves in Banach spaces

Details Analytic sheaves in Banach spaces Analytic sheaves in Banach spaces

2005-07-26

arxiv.org/abs/math/0507549v1

Mathematics

Complex Variables

38 pages

Scientific paper

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.

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