Hilbert space factor of metric spaces
Differential Geometry
2025-03-04 v1
Abstract
We prove that any complete metric space has a unique decomposition as a direct product of a possibly finite or zero-dimensional Hilbert space and a space that does not split off lines.
Cite
@article{arxiv.2503.00864,
title = {Hilbert space factor of metric spaces},
author = {Thomas Foertsch and Alexander Lytchak and Elefterios Soultanis},
journal= {arXiv preprint arXiv:2503.00864},
year = {2025}
}
Comments
7 pages, comments very welcome!