Locally uniformly convex Banach spaces
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- by A. R. Lovaglia
- Trans. Amer. Math. Soc. 78 (1955), 225-238
- DOI: https://doi.org/10.1090/S0002-9947-1955-0066558-7
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References
- S. Banach, Théorie des opérations linéaires, Warsaw, 1932.
- James A. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc. 40 (1936), no. 3, 396–414. MR 1501880, DOI 10.1090/S0002-9947-1936-1501880-4
- Mahlon M. Day, Reflexive Banach spaces not isomorphic to uniformly convex spaces, Bull. Amer. Math. Soc. 47 (1941), 313–317. MR 3446, DOI 10.1090/S0002-9904-1941-07451-3
- Mahlon M. Day, Some more uniformly convex spaces, Bull. Amer. Math. Soc. 47 (1941), 504–507. MR 4068, DOI 10.1090/S0002-9904-1941-07499-9
- Mahlon M. Day, Uniform convexity. III, Bull. Amer. Math. Soc. 49 (1943), 745–750. MR 9422, DOI 10.1090/S0002-9904-1943-08019-6
- Robert C. James, Bases and reflexivity of Banach spaces, Ann. of Math. (2) 52 (1950), 518–527. MR 39915, DOI 10.2307/1969430 V. Smulian, On some geometrical properties of the unit sphere in the space of the type $(B)$, Rec. Math. (Mat. Sbornik) N.S. vol. 48 (1939) pp. 90-94.
- V. Šmulian, Sur la dérivabilité de la norme dans l’espace de Banach, C. R. (Doklady) Acad. Sci. URSS (N.S.) 27 (1940), 643–648 (French). MR 0002704
Bibliographic Information
- © Copyright 1955 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 78 (1955), 225-238
- MSC: Primary 46.0X
- DOI: https://doi.org/10.1090/S0002-9947-1955-0066558-7
- MathSciNet review: 0066558