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N.J. Kalton
Rademacher series and decoupling
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| Published: |
November 17, 2005
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| Keywords: |
decoupling, quasi-Banach space |
| Subject: |
Primary: 46A16, 60B11 |
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Abstract
We study decoupling in quasi-Banach spaces. We
show that decoupling is permissible in some quasi-Banach spaces
(e.g., Lp and Lp/Hp when 0<p<1) but fails in other spaces
such as the Schatten ideal Sp when 0<p<1. We also
relate our ideas to a possible extension of the Grothendieck
inequality.
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| Acknowledgements
The author was supported by NSF grant DMS-0244515
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| Author information
Department of Mathematics, University of Missouri-Columbia, Columbia, MO 65211, USA
nigel@math.missouri.edu
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