Reproducing kernel Hilbert spaces cannot contain all continuous functions on a compact metric space

Steinwart, Ingo2025-05-2120241420-89380003-889Xhttp://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-164140https://elib.uni-stuttgart.de/handle/11682/16414https://doi.org/10.18419/opus-16395Given an uncountable, compact metric space X, we show that there exists no reproducing kernel Hilbert space that contains the space of all continuous functions on X .enCC BYinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/4.0/510Reproducing kernel Hilbert spaces cannot contain all continuous functions on a compact metric spacearticle2025-01-23