Analytic cohomology in a Banach space

Details Analytic cohomology in a Banach space Analytic cohomology in a Banach space

2005-07-25

arxiv.org/abs/math/0507520v1

Mathematics

Complex Variables

35 pages

Scientific paper

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.

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