Loop Spaces as Hilbert-Hartogs Manifolds
Complex Variables
2020-06-11 v3 Functional Analysis
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.
Cite
@article{arxiv.1910.13898,
title = {Loop Spaces as Hilbert-Hartogs Manifolds},
author = {M. Anakkar and S. Ivashkovich},
journal= {arXiv preprint arXiv:1910.13898},
year = {2020}
}
Comments
To appear in Arkiv der Mathematik. arXiv admin note: substantial text overlap with arXiv:1112.2504