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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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Representing abstract measures by Loeb measures: a generalization of the standard part map
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by J. M. Aldaz
Proc. Amer. Math. Soc. 123 (1995), 2799-2808
DOI: https://doi.org/10.1090/S0002-9939-1995-1260159-1

Abstract:

Loeb measures have been utilized to represent Radon and $\tau$-smooth measures on topological spaces via the standard part map. The purpose of this paper is to show how to extend these results to a nontopological setting.
References
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 2799-2808
  • MSC: Primary 28E05; Secondary 03H05, 28A12
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1260159-1
  • MathSciNet review: 1260159