Banach spaces embedding isometrically into $L_p$ when $0<p<1$
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- by N. J. Kalton and A. Koldobsky PDF
- Proc. Amer. Math. Soc. 132 (2004), 67-76 Request permission
Abstract:
For $0<p<1$ we give examples of Banach spaces isometrically embedding into $L_p$ but not into any $L_r$ with $p<r\le 1.$References
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Additional Information
- N. J. Kalton
- Affiliation: Department of Mathematics, University of Missouri-Columbia, Columbia, Missouri 65211
- Email: nigel@math.missouri.edu
- A. Koldobsky
- Affiliation: Department of Mathematics, University of Missouri-Columbia, Columbia, Missouri 65211
- MR Author ID: 104225
- Email: koldobsk@math.missouri.edu
- Received by editor(s): March 31, 2002
- Published electronically: August 20, 2003
- Additional Notes: The first author was supported by NSF grant DMS-9870027
The second author was supported by NSF grant DMS-9996431 - Communicated by: Jonathan M. Borwein
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 67-76
- MSC (2000): Primary 47A16, 47C15
- DOI: https://doi.org/10.1090/S0002-9939-03-07169-7
- MathSciNet review: 2021249