Separability of reproducing kernel spaces

By Houman Owhadi, Clint Scovel. 2015

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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.

Subfields: Applied Mathematics, Computational Mechanics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2f8576dd5abef8e05150d2fbefd4cbc466d82fb3