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ISSN 1088-6826(e) ISSN 0002-9939(p)

The Kadison-Singer problem and the uncertainty principle

Author(s): Peter G. Casazza; Eric Weber
Journal: Proc. Amer. Math. Soc. 136 (2008), 4235-4243.
MSC (2000): Primary 42C15; Secondary 46L30
Posted: July 16, 2008
MathSciNet review: 2431036
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Abstract | References | Similar articles | Additional information

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
Email: pete@math.missouri.edu

Eric Weber
Affiliation: Department of Mathematics, Iowa State University, 400 Carver Hall, Ames, Iowa 50011
Email: esweber@iastate.edu

DOI: 10.1090/S0002-9939-08-09564-6
PII: S 0002-9939(08)09564-6
Received by editor(s): May 16, 2007
Posted: 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 of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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