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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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The Kadison-Singer problem and the uncertainty principle
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by Peter G. Casazza and Eric Weber PDF
Proc. Amer. Math. Soc. 136 (2008), 4235-4243 Request permission

Abstract:

We compare and contrast the Kadison-Singer problem to the Uncertainty Principle via exponential frames. Our results suggest that the Kadison-Singer problem, if true, is in a sense a stronger version of the Uncertainty Principle.
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Additional Information
  • Peter G. Casazza
  • Affiliation: Department of Mathematics, University of Missouri-Columbia, Columbia, Missouri 65211
  • MR Author ID: 45945
  • Email: pete@math.missouri.edu
  • Eric Weber
  • Affiliation: Department of Mathematics, Iowa State University, 400 Carver Hall, Ames, Iowa 50011
  • MR Author ID: 660323
  • Email: esweber@iastate.edu
  • Received by editor(s): May 16, 2007
  • Published electronically: July 16, 2008
  • Additional Notes: The first author was supported by NSF DMS 0704216. Part of this research was carried out while the authors were visiting AIM
  • Communicated by: Michael T. Lacey
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 4235-4243
  • MSC (2000): Primary 42C15; Secondary 46L30
  • DOI: https://doi.org/10.1090/S0002-9939-08-09564-6
  • MathSciNet review: 2431036