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Proceedings of the American Mathematical Society

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Linear extensions of convex subsets


Author: Hideyuki Fujihira
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
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Abstract | References | Similar Articles | Additional Information

Abstract: We give conditions for linear extensions of closed convex subsets of topological vector spaces to be closed.


References [Enhancements On Off] (What's this?)

  • [1] H. H. Schaefer, Topological vector spaces, Macmillan, New York, 1967. MR 0193469 (33:1689)
  • [2] J. L. Kelley, I. Namioka et al., Linear topological spaces, Van Nostrand, Princeton, N. J., 1963. MR 0166578 (29:3851)
  • [3] N. Bourbaki, Éléments de mathématique, Espaces vectoriels topologiques, Chap. 3-5, Hermann, Paris, 1955.

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1983-0706525-3
Keywords: Convex sets, linear extensions, radial kernels, barrelled spaces
Article copyright: © Copyright 1983 American Mathematical Society

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