Completely bounded $\Lambda _p$ sets that are not Sidon
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- by Kathryn Hare and Parasar Mohanty PDF
- Proc. Amer. Math. Soc. 144 (2016), 2861-2869 Request permission
Abstract:
In this paper we construct examples of completely bounded $\Lambda _p$ sets, which are not Sidon, on any compact abelian group. As a consequence, we have a new proof of the classical result for the existence of non-Sidon, $\Lambda _p$ sets on any compact abelian group.References
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Additional Information
- Kathryn Hare
- Affiliation: Department of Pure Mathematics, University of Waterloo, Ontario, Canada N2L 3G1
- MR Author ID: 246969
- Email: kehare@uwaterloo.ca
- Parasar Mohanty
- Affiliation: Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, India, 208016
- Email: parasar@iitk.ac.in
- Received by editor(s): March 4, 2013
- Received by editor(s) in revised form: February 4, 2014
- Published electronically: March 18, 2016
- Additional Notes: The first author was supported in part by NSERC grant number 45597.
The second author would like to thank the University of Waterloo for their hospitality. - Communicated by: Alexander Iosevich
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 2861-2869
- MSC (2010): Primary 43A46; Secondary 46L07, 47L25
- DOI: https://doi.org/10.1090/proc/13039
- MathSciNet review: 3487220