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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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Sequential convergence in the order duals of certain classes of Riesz spaces
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by P. G. Dodds PDF
Trans. Amer. Math. Soc. 203 (1975), 391-403 Request permission

Abstract:

Several results of Hahn-Vitali-Saks type are given for sequences in the order dual of an Archimedean Riesz space with separating order dual. The class of Riesz spaces considered contains those which are Dedekind $\sigma$-complete, or have the projection property or have an interpolation property introduced by G. L. Seever. The results depend on recent work of O. Burkinshaw and some results of uniform boundedness type.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 203 (1975), 391-403
  • MSC: Primary 46A40
  • DOI: https://doi.org/10.1090/S0002-9947-1975-0358282-0
  • MathSciNet review: 0358282