Abstract
For a large class of Banach spaces X we prove the following. If Ω ⊂ X is open and pseudoconvex, and E → Ω is a locally trivial holomorphic Banach bundle, then the sheaf cohomology groups Hq(Ω, E) vanish for q ≥ 1. We also give an application concerning neighborhoods of complex submanifolds.
Citation
LÁSZLÓ LEMPERT . "VANISHING COHOMOLOGY FOR HOLOMORPHIC VECTOR BUNDLES IN A BANACH SETTING." Asian J. Math. 8 (1) 065 - 086, January, 2004.
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