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Transactions of the American Mathematical Society

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A characterization of the Riesz space of measurable functions


Author: J. J. Masterson
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
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References [Enhancements On Off] (What's this?)

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  • [2] S. Kakutani, Concrete representation of abstract (L)-space and the mean ergodic theorem, Ann. of Math. 42 (1941), 523-537. MR 0004095 (2:318d)
  • [3] W. A. J. Luxemburg and J. J. Masterson, An extension of the concept of the order dual of a Riesz space, Canad. J. Math. 19 (1967), 488-498. MR 0212540 (35:3411)
  • [4] W. A. J. Luxemburg and A. C. Zaanen, Notes on Banach function spaces. VII, Nederl. Akad. Wetensch. Proc. Ser. A 66 (1963), 669-681.
  • [5] H. Nakano, Modern spectral theory, Maruzen, Tokyo, 1950. MR 0038564 (12:419f)
  • [6] A. C. Zaanen, The Radon-Nikodym theorem. II, Nederl. Akad. Wetensch. Proc. Ser. A 64 (1961), 171-187.

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DOI: https://doi.org/10.1090/S0002-9947-1969-0233177-9
Article copyright: © Copyright 1969 American Mathematical Society

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