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arXiv · 2002.03171

Reproducing Kernel Hilbert Spaces Cannot Contain all Continuous Functions on a Compact Metric Space

Ingo Steinwart
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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.

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Ingo Steinwart. 2020-02-08. Reproducing Kernel Hilbert Spaces Cannot Contain all Continuous Functions on a Compact Metric Space. https://arxiv.org/abs/2002.03171

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