Abstract.
Let X be a complex Banach space with a countable unconditional basis, Ω⊂X pseudoconvex open, G a complex Banach Lie group. We show that a Runge–type approximation hypothesis on X, G (which we also prove for G a solvable Lie group) implies that any holomorphic cocycle on Ω with values in G can be resolved holomorphically if it can be resolved continuously.
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Received: 1 March 2002 / Published online: 28 March 2003
Mathematics Subject Classification (2000): 32L05, 32E30, 46G20
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ID="*" Kedves Szímuskának.
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ID="*" To my dear Wife.
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Patyi, I. On the Oka principle in a Banach space, I. Math. Ann. 326, 417–441 (2003). https://doi.org/10.1007/s00208-003-0423-z
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DOI: https://doi.org/10.1007/s00208-003-0423-z