The Kadison–Singer Problem in mathematics and engineering
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Edited by Ingrid Daubechies, Princeton University, Princeton, NJ, December 17, 2005 (received for review September 9, 2005)
Abstract
We will see that the famous intractible 1959 Kadison–Singer Problem in C*-algebras is equivalent to fundamental open problems in a dozen different areas of research in mathematics and engineering. This work gives all these areas common ground on which to interact as well as explaining why each area has volumes of literature on their respective problems without a satisfactory resolution.
Footnotes
- †To whom correspondence should be addressed. E-mail: pete{at}math.missouri.edu
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Author contributions: P.G.C. and J.C.T. performed research; and P.G.C. wrote the paper.
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Conflict of interest statement: No conflicts declared.
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This paper was submitted directly (Track II) to the PNAS office.
- Abbreviations:
- KS,
- Kadison–Singer Problem;
- PC,
- Paving Conjecture;
- BT,
- Bourgain-Tzafriri Conjecture;
- FC,
- Feichtinger Conjecture.
Abbreviations:
- © 2006 by The National Academy of Sciences of the USA
