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.
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