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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 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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A characterization of the Riesz space of measurable functions
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by J. J. Masterson PDF
Trans. Amer. Math. Soc. 135 (1969), 193-197 Request permission
References
    N. Dunford and J. T. Schwartz, Linear operators, Part I, Interscience, New York, 1958.
  • Shizuo Kakutani, Concrete representation of abstract $(L)$-spaces and the mean ergodic theorem, Ann. of Math. (2) 42 (1941), 523–537. MR 4095, DOI 10.2307/1968915
  • W. A. J. Luxemburg and J. J. Masterson, An extension of the concept of the order dual of a Riesz space, Canadian J. Math. 19 (1967), 488–498. MR 212540, DOI 10.4153/CJM-1967-041-6
    • W. A. J. Luxemburg and A. C. Zaanen, Notes on Banach function spaces. VII, Nederl. Akad. Wetensch. Proc. Ser. A 66 (1963), 669-681.
  • Hidegorô Nakano, Modern Spectral Theory, Maruzen Co. Ltd., Tokyo, 1950. MR 0038564
    • A. C. Zaanen, The Radon-Nikodym theorem. II, Nederl. Akad. Wetensch. Proc. Ser. A 64 (1961), 171-187.
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Additional Information
  • © Copyright 1969 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 135 (1969), 193-197
  • MSC: Primary 46.06
  • DOI: https://doi.org/10.1090/S0002-9947-1969-0233177-9
  • MathSciNet review: 0233177