Reproducing Kernel Hilbert Spaces Cannot Contain all Continuous Functions on a Compact Metric Space
Functional Analysis
2020-03-16 v2 Machine Learning
Abstract
Given an uncountable, compact metric space, we show that there exists no reproducing kernel Hilbert space that contains the space of all continuous functions on this compact space.
Cite
@article{arxiv.2002.03171,
title = {Reproducing Kernel Hilbert Spaces Cannot Contain all Continuous Functions on a Compact Metric Space},
author = {Ingo Steinwart},
journal= {arXiv preprint arXiv:2002.03171},
year = {2020}
}
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2 pages