What is an RKHS?

نویسندگان

  • Dino Sejdinovic
  • Arthur Gretton
چکیده

We start by reviewing some elementary Banach and Hilbert space theory. Two key results here will prove useful in studying the properties of reproducing kernel Hilbert spaces: (a) that a linear operator on a Banach space is continuous if and only if it is bounded, and (b) that all continuous linear functionals on a Banach space arise from the inner product. The latter is often termed Riesz representation theorem.

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تاریخ انتشار 2012