On complex Banach manifolds similar to Stein manifolds
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2010
- DOI:
- 10.48550/arXiv.1010.3738
- arXiv:
- arXiv:1010.3738
- Bibcode:
- 2010arXiv1010.3738P
- Keywords:
-
- Mathematics - Complex Variables;
- Mathematics - Functional Analysis;
- 46G20 (32Q28;
- 32Q35;
- 32Q40;
- 32T35;
- 32L20)
- E-Print:
- 5 pages