Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Absolutely continuous and locally quasi-invariant measures on locally compact semigroups


Author: Henry A. M. Dzinotyiweyi
Journal: Proc. Amer. Math. Soc. 69 (1978), 49-55
MSC: Primary 22A20; Secondary 43A05
DOI: https://doi.org/10.1090/S0002-9939-1978-0476907-4
MathSciNet review: 0476907
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let S be a locally compact semigroup and T a locally compact subsemigroup of S. It is shown that, for a large class of semigroups S, if T is 'reasonably large', the absolutely continuous measures on T extend to measures whose translates by some points of S are absolutely continuous on S. As a consequence we prove the absolute continuity of translates of some measures related to a locally quasi-invariant measure.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 22A20, 43A05

Retrieve articles in all journals with MSC: 22A20, 43A05


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1978-0476907-4
Keywords: Absolutely continuous measure, locally quasi-invariant measure, translate of a measure, foundation semigroup
Article copyright: © Copyright 1978 American Mathematical Society