## Locally uniformly convex Banach spaces.(English)Zbl 0064.35601

### Keywords:

functional analysis
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### References:

 [1] S. Banach, Théorie des opérations linéaires, Warsaw, 1932. · JFM 58.0420.01 [2] James A. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc. 40 (1936), no. 3, 396 – 414. · Zbl 0015.35604 [3] Mahlon M. Day, Reflexive Banach spaces not isomorphic to uniformly convex spaces, Bull. Amer. Math. Soc. 47 (1941), 313 – 317. · Zbl 0024.41401 [4] Mahlon M. Day, Some more uniformly convex spaces, Bull. Amer. Math. Soc. 47 (1941), 504 – 507. · Zbl 0027.11003 [5] Mahlon M. Day, Uniform convexity. III, Bull. Amer. Math. Soc. 49 (1943), 745 – 750. · Zbl 0063.01056 [6] Robert C. James, Bases and reflexivity of Banach spaces, Ann. of Math. (2) 52 (1950), 518 – 527. · Zbl 0039.12202 [7] 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. · JFM 65.1552.04 [8] 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). · Zbl 0023.32604
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