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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Sequence of regular finitely additive set functions
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by J. D. Stein
Trans. Amer. Math. Soc. 192 (1974), 59-66
DOI: https://doi.org/10.1090/S0002-9947-1974-0379791-3
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Abstract:

The purpose of this paper is to deduce versions of Phillips’ lemma and the Vitali-Hahn-Saks theorem, with weaker conditions placed on the set functions and convergence conditions than is usually required.
References
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Bibliographic Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 192 (1974), 59-66
  • MSC: Primary 28A32
  • DOI: https://doi.org/10.1090/S0002-9947-1974-0379791-3
  • MathSciNet review: 0379791