$\ell _p$ ($p>2$) does not coarsely embed into a Hilbert space
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- by William B. Johnson and N. Lovasoa Randrianarivony PDF
- Proc. Amer. Math. Soc. 134 (2006), 1045-1050
Abstract:
We show that a Banach space with a normalized symmetric basis behaving like that of $\ell _p$ ($p>2$) cannot coarsely embed into a Hilbert space.References
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Additional Information
- William B. Johnson
- Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
- MR Author ID: 95220
- Email: johnson@math.tamu.edu
- N. Lovasoa Randrianarivony
- Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
- Address at time of publication: Department of Mathematics, University of Missouri, Columbia, Missouri 65211-4100
- Email: nirina@math.tamu.edu, lova@math.missouri.edu
- Received by editor(s): October 7, 2004
- Published electronically: November 7, 2005
- Additional Notes: Both authors were supported in part by NSF 0200690 and Texas Advanced Research Program 010366-0033-20013.
This paper represents a portion of the second authorβs dissertation being prepared at Texas A&M University under the direction of the first author. - Communicated by: David Preiss
- © Copyright 2005 by the authors
- Journal: Proc. Amer. Math. Soc. 134 (2006), 1045-1050
- MSC (2000): Primary 46B20; Secondary 51F99
- DOI: https://doi.org/10.1090/S0002-9939-05-08415-7
- MathSciNet review: 2196037