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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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Linear extensions of convex subsets
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by Hideyuki Fujihira PDF
Proc. Amer. Math. Soc. 89 (1983), 130-132 Request permission

Abstract:

We give conditions for linear extensions of closed convex subsets of topological vector spaces to be closed.
References
  • Helmut H. Schaefer, Topological vector spaces, The Macmillan Company, New York; Collier Macmillan Ltd., London, 1966. MR 0193469
  • J. L. Kelley and Isaac Namioka, Linear topological spaces, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J., 1963. With the collaboration of W. F. Donoghue, Jr., Kenneth R. Lucas, B. J. Pettis, Ebbe Thue Poulsen, G. Baley Price, Wendy Robertson, W. R. Scott, Kennan T. Smith. MR 0166578
    • N. Bourbaki, Éléments de mathématique, Espaces vectoriels topologiques, Chap. 3-5, Hermann, Paris, 1955.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 89 (1983), 130-132
  • MSC: Primary 52A07; Secondary 46A55
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0706525-3
  • MathSciNet review: 706525