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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On semicontinuous linear lattices
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by Hidegoro Nakano
Proc. Amer. Math. Soc. 34 (1972), 115-117
DOI: https://doi.org/10.1090/S0002-9939-1972-0293370-1
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Abstract:

Applying spectral theory, we proved that a linear lattice is continuous if and only if it is semicontinuous and uniformly complete. In this paper we give another proof without use of spectral theory.
References
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Bibliographic Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 34 (1972), 115-117
  • MSC: Primary 46A40
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0293370-1
  • MathSciNet review: 0293370