
arXiv: 1506.04288
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.
Mathematics - Functional Analysis, FOS: Mathematics, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), reproducing kernel Hilbert or Banach space, Borel measurable feature map, 46E22, Functional Analysis (math.FA)
Mathematics - Functional Analysis, FOS: Mathematics, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), reproducing kernel Hilbert or Banach space, Borel measurable feature map, 46E22, Functional Analysis (math.FA)
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