The Hahn-Banach extension and the least upper bound properties are equivalent
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- by W. E. Bonnice and R. J. Silverman PDF
- Proc. Amer. Math. Soc. 18 (1967), 843-849 Request permission
References
- William E. Bonnice and Robert J. Silverman, The Hahn-Banach theorem for finite dimensional spaces, Trans. Amer. Math. Soc. 121 (1966), 210–222. MR 185412, DOI 10.1090/S0002-9947-1966-0185412-0
- Mahlon M. Day, Normed linear spaces, Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg, 1962. MR 0145316
- R. J. Silverman and Ti Yen, The Hahn-Banach theorem and the least upper bound property, Trans. Amer. Math. Soc. 90 (1959), 523–526. MR 102725, DOI 10.1090/S0002-9947-1959-0102725-5
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 18 (1967), 843-849
- MSC: Primary 46.06; Secondary 06.00
- DOI: https://doi.org/10.1090/S0002-9939-1967-0215050-9
- MathSciNet review: 0215050