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A Characterisation of Locally Compact Amenable Subsemigroups

Published online by Cambridge University Press:  20 November 2018

James C. S. Wong
James C. S. Wong*
Affiliation:
Department of Mathematics And Statistics University of Calgary Calgary, Canada. T2N 1N4
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Abstract

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In this paper, we prove that if S is a locally compact semigroup and T a locally compact Borel measurable subsemigroup of S, then T has a topological left invariant mean if and only if there is a topological left T-invariant mean M on S such that M(xT) = 1, where xT is the characteristic functional of T in S.

Keywords

(Mathematical Reviews 1973)22.0522.20 and 42.50Locally compact semigroups and subsemigroupstopological left invariant means measure algebrascharacteristic functionals
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 3 , 01 September 1980 , pp. 305 - 312
Copyright
Copyright © Canadian Mathematical Society 1980

References

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