Central Interpolation Sets for Compact Groups and Hypergroups
Strachen, I. A. B.
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.
D. E. Grow and K. E. Hare, "Central Interpolation Sets for Compact Groups and Hypergroups," Glasgow Mathematical Journal, Cambridge University Press, Jan 2009.
The definitive version is available at http://dx.doi.org/10.1017/S0017089509990024
Mathematics and Statistics
Article - Journal
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