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On complex Banach manifolds similar to Stein manifolds

Complex Variables 2010-10-20 v1 Functional Analysis

Abstract

We give an abstract definition, similar to the axioms of a Stein manifold, of a class of complex Banach manifolds in such a way that a manifold belongs to the class if and only if it is biholomorphic to a closed split complex Banach submanifold of a separable Banach space.

Keywords

Cite

@article{arxiv.1010.3738,
  title  = {On complex Banach manifolds similar to Stein manifolds},
  author = {Imre Patyi},
  journal= {arXiv preprint arXiv:1010.3738},
  year   = {2010}
}

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5 pages