Local uniform convexity of Day’s norm on $c_{0}(\Gamma )$
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- by John Rainwater
- Proc. Amer. Math. Soc. 22 (1969), 335-339
- DOI: https://doi.org/10.1090/S0002-9939-1969-0243325-8
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References
- D. Amir and J. Lindenstrauss, The structure of weakly compact sets in Banach spaces, Ann. of Math. (2) 88 (1968), 35–46. MR 228983, DOI 10.2307/1970554
- Edgar Asplund, Fréchet differentiability of convex functions, Acta Math. 121 (1968), 31–47. MR 231199, DOI 10.1007/BF02391908
- Mahlon M. Day, Strict convexity and smoothness of normed spaces, Trans. Amer. Math. Soc. 78 (1955), 516–528. MR 67351, DOI 10.1090/S0002-9947-1955-0067351-1
- Joram Lindenstrauss, On nonseparable reflexive Banach spaces, Bull. Amer. Math. Soc. 72 (1966), 967–970. MR 205040, DOI 10.1090/S0002-9904-1966-11606-3 —, Weakly compact sets—their topological properties and Banach spaces they generate, Proc. Sympos. Infinite Dimensional Topology (1967), Ann. of Math. Studies, Princeton Univ. Press, Princeton, N. J. (to appear).
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 22 (1969), 335-339
- MSC: Primary 46.10
- DOI: https://doi.org/10.1090/S0002-9939-1969-0243325-8
- MathSciNet review: 0243325