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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the extensions of vector-valued Loeb measures
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by Horst Osswald and Yeneng Sun PDF
Proc. Amer. Math. Soc. 111 (1991), 663-675 Request permission

Abstract:

Two ways of constructing countably additive vector measures from internal vector measures are given. The connection of the extendability of vector-valued Loeb measures and the existence of the internal control measures is shown.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 111 (1991), 663-675
  • MSC: Primary 28E05; Secondary 03H05, 28B05, 46G10, 46S20
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1047007-6
  • MathSciNet review: 1047007