Loop Spaces as Hilbert-Hartogs Manifolds

Abstract

We prove that generalized loop spaces of Hartogs manifolds are Hilbert-Hartogs. We prove also that Hilbert-Hartogs manifolds possess a better extension properties that it is postulated in their definition. Finally, we give a list of examples of Hilbert-Hartogs manifolds.

To appear in Arkiv der Mathematik. arXiv admin note: substantial text overlap with arXiv:1112.2504