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Counterexample to a Conjecture of Greenleaf

Published online by Cambridge University Press:  20 November 2018

Paul Milnes
Paul Milnes*
Affiliation:
University of Toronto, Toronto, Ontario
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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

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 13 , Issue 4 , December 1970 , pp. 497 - 499
Copyright
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