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Counterexample to a Conjecture of Greenleaf
Published online by Cambridge University Press: 20 November 2018
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Greenleaf states the following conjecture in [1, p. 69]. Let G be a (connected, separable) amenable locally compact group with left Haar measure, μ, and let U be a compact symmetric neighbourhood of the unit. Then the sets, {Um}, have the following property: given ɛ > 0 and compact K ⊂ G, ∃ m0 = m0(ɛ, K) such that
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- Copyright © Canadian Mathematical Society 1970
References
Greenleaf, F. P., Invariant means on topological groups and their applications, Van Nostrand Mathematical Studies No. 16, Van Nostrand, Princeton, N.J., 1969.Google Scholar
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