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On r*-Invariant Measure on a Locally Compact Semigroup with Recurrence

Published online by Cambridge University Press:  20 November 2018

Samuel Bourne
Samuel Bourne*
Affiliation:
Department of Mathematics University of California, Berkeley Berkeley, California94720
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A regular Borel measure μ is said to be r*-invariant on a locally compact semigroup if μ(Ba-1) = μ(B) for all Borel sets B and points a of S, where Ba-1 ={xϵS, xaϵB}. In [1] Argabright conjectured that the support of an r*-invariant measure on a locally compact semigroup is a left group, Mukherjea and Tserpes [4] proved this conjecture in the case that the measure is finite; however their method of proof fails when the measure is infinite.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 2 , 01 June 1980 , pp. 237 - 239
Copyright
Copyright © Canadian Mathematical Society 1980

References

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