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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Separability of reproducing kernel spaces
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by Houman Owhadi and Clint Scovel PDF
Proc. Amer. Math. Soc. 145 (2017), 2131-2138 Request permission

Abstract:

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.
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Additional Information
  • Houman Owhadi
  • Affiliation: Department of Computing and Mathematical Sciences, California Institute of Technology, MC 9-94, Pasadena, California 91125
  • MR Author ID: 695100
  • ORCID: 0000-0002-5677-1600
  • Email: owhadi@caltech.edu
  • Clint Scovel
  • Affiliation: Department of Computing and Mathematical Sciences, California Institute of Technology, MC 9-94, Pasadena, California 91125
  • MR Author ID: 290637
  • Email: clintscovel@gmail.com
  • Received by editor(s): July 13, 2015
  • Received by editor(s) in revised form: March 3, 2016, May 31, 2016, and July 5, 2016
  • Published electronically: October 27, 2016
  • Communicated by: Mark M. Meerschaert
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 2131-2138
  • MSC (2010): Primary 46E22
  • DOI: https://doi.org/10.1090/proc/13354
  • MathSciNet review: 3611326