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.References
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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