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CENTRAL INTERPOLATION SETS FOR COMPACT GROUPS AND HYPERGROUPS

Published online by Cambridge University Press:  01 September 2009

DAVID GROW  and
KATHRYN E. HARE
DAVID GROW
Affiliation:
Department of Mathematics and Statistics, University of Missouri–Rolla, Rolla, MO 65409, USA e-mail: grow@mst.edu
KATHRYN E. HARE
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada e-mail: kehare@uwaterloo.ca
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Abstract

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We prove that every infinite subset of the dual of a compact, connected group contains an infinite, central, weighted I0 set. This yields a new proof of the fact that the duals of such groups admit infinite central p-Sidon sets for each p > 1. We also establish the existence of infinite, weighted I0 sets in the duals of many compact, abelian hypergroups.

Keywords

Primary 43A46secondary 43A6243A30
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue 3 , September 2009 , pp. 593 - 603
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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