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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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A simple proof of necessity in the McCullough-Quiggin theorem
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by Greg Knese PDF
Proc. Amer. Math. Soc. 148 (2020), 3453-3456 Request permission

Abstract:

A short and simple proof of necessity in the McCullough-Quiggin characterization of positive semi-definite kernels with the complete Pick property is presented.
References
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Additional Information
  • Greg Knese
  • Affiliation: Department of Mathematics and Statistics, Washington University in St. Louis, One Brookings Drive, St. Louis, Missouri 63130
  • MR Author ID: 813491
  • Email: geknese@wustl.edu
  • Received by editor(s): December 30, 2019
  • Published electronically: April 9, 2020
  • Additional Notes: The author was partially supported by NSF grant DMS-1900816
  • Communicated by: Stephan Ramon Garcia
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 3453-3456
  • MSC (2010): Primary 46E22, 47A57
  • DOI: https://doi.org/10.1090/proc/15061
  • MathSciNet review: 4108851