Representing abstract measures by Loeb measures: a generalization of the standard part map

Author:
J. M. Aldaz

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

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Abstract | References | Similar Articles | Additional Information

Abstract: Loeb measures have been utilized to represent Radon and -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.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1995-1260159-1

Keywords:
Loeb measures,
standard part map

Article copyright:
© Copyright 1995
American Mathematical Society