Geodesic
Continuity of the uniform rotundity modulus relative to linear subspaces
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 273-277.

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We prove the continuity of the rotundity modulus relative to linear subspaces of normed spaces. As a consequence we reduce the study of uniform rotundity relative to linear subspaces to the study of the same property relative to closed linear subspaces of Banach spaces.
Classification : 46B20
Keywords: uniform rotundity 
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     title = {Continuity of the uniform rotundity modulus relative to linear subspaces},
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Fernández, Manuel; Palacios, Isidro. Continuity of the uniform rotundity modulus relative to linear subspaces. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 273-277. http://geodesic.mathdoc.fr/item/CMUC_1997__38_2_a7/