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math.CV2005
On holomorphic Banach vector bundles over Banach spaces
Imre Patyi
We show, e.g., that a holomorphic Banach vector bundle over a pseudoconvex open subset of, say, Hilbert space is holomorphically trivial if it is continuously trivial. Some applica…
math.CV2005★ 2 cited
An analytic Koszul complex in a Banach space
Imre Patyi
We show that the holomorphic ideal sheaf of a linear section of a pseudoconvex open subset of, say, a Hilbert space is acyclic. We also prove an analog of Hefer's le…
math.CV2005★ 4 cited
Analytic cohomology in a Banach space
Imre Patyi
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.…