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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A closed graph theorem
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by S. O. Iyahen PDF
Proc. Amer. Math. Soc. 53 (1975), 165-166 Request permission

Abstract:

A closed graph theorem is proved, implying that a Hausdorff locally convex space $E$ need not be barrelled if every closed linear map from $E$ into $F$ is continuous, where $F$ is a reflexive Fréchet or $LF$-space or a space of distributions.
References
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 53 (1975), 165-166
  • MSC: Primary 46A30
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0442631-4
  • MathSciNet review: 0442631