Separability of reproducing kernel spaces
Functional Analysis
2016-07-06 v2
Abstract
We demonstrate that a reproducing kernel Hilbert or Banach space of functions on a separable absolute Borel space or an analytic subset of a Polish space is separable if it possesses a Borel measurable feature map.
Cite
@article{arxiv.1506.04288,
title = {Separability of reproducing kernel spaces},
author = {Houman Owhadi and Clint Scovel},
journal= {arXiv preprint arXiv:1506.04288},
year = {2016}
}