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CENTRAL INTERPOLATION SETS FOR COMPACT GROUPS AND HYPERGROUPS
Published online by Cambridge University Press: 01 September 2009
Abstract
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.
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 2009
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