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References:
[1] K. W. ANDERSON: Midpoint local uniform convexity, and other geometric properties of Banach spaces. Dissertation, University of Illinois, I960.
[2] A. R. LOVACLIA: Locally uniformly convex Banach spaces. Trans. Amer. Math. Soc. 78 (1955), 225-238. MR 0066558
[3] M. A. SMITH: Banach spaces that are uniformly rotund in weakly compact sets of directions. Canad. J. Math. 29 (1977), 963-970. MR 0450942 | Zbl 0338.46021
[4] M. A. SMITH: Some examples concerning rotundity in Banach spaces. Math. Ann. 233 (1978), 155-161. MR 0482080 | Zbl 0391.46014
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