Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Regularity of Riesz measures
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by P. Prinz
Proc. Amer. Math. Soc. 96 (1986), 330-334
DOI: https://doi.org/10.1090/S0002-9939-1986-0818467-6

Abstract:

It is shown that Riesz measures are inner regular, i.e., each Borel set may be approximated from inside by closed sets, if the basic space is metacompact or para-Lindelöf. On the other hand, an example is given to show that local compactness is not sufficient to ensure inner regularity of Riesz measures.
References
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Bibliographic Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 96 (1986), 330-334
  • MSC: Primary 28C15; Secondary 54D18
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0818467-6
  • MathSciNet review: 818467