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Absolutely Continuous Measures on Locally Compact Semigroups(1)

Published online by Cambridge University Press:  20 November 2018

James C. S. Wong
James C. S. Wong*
Affiliation:
Department of Mathematics, University of Calgary, Calgary, Alberta
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Abstract

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Let S be a locally compact Borel subsemigroup of a locally compact semigroup G. It is shown that the algebra of all "absolutely continuous' measures on S is isometrically order isomorphic to the algebra of all measures in M(G) which are "concentrated" and "absolutely continuous" on S.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 1 , April 1975 , pp. 127 - 132
Copyright
Copyright © Canadian Mathematical Society 1975

Footnotes

(1)

Research supported by NRC of Canada Grant No. A8227.

References

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