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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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On the completion of Hausdorff locally solid Riesz spaces
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by Charalambos D. Aliprantis PDF
Trans. Amer. Math. Soc. 196 (1974), 105-125 Request permission

Abstract:

In this paper we consider Hausdorff locally solid Riesz spaces $(L,\tau )$ and we denote by $(\hat L,\hat \tau )$ the Hausdorff topological completion of $(L,\tau )$. It is proved that $(\hat L,\hat \tau )$ is a Hausdorff locally solid Riesz space containing L as a Riesz subspace. We study the properties of $(L,\tau )$ which are inherited by $(\hat L,\hat \tau )$.
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 196 (1974), 105-125
  • MSC: Primary 46A40
  • DOI: https://doi.org/10.1090/S0002-9947-1974-0350372-0
  • MathSciNet review: 0350372