Geodesic
Uniform G-Convexity for Vector-Valued Lp Spaces
Serdica Mathematical Journal, Tome 35 (2009) no. 1, pp. 1-14.

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Uniform G-convexity of Banach spaces is a recently introduced natural generalization of uniform convexity and of complex uniform convexity. We study conditions under which uniform G-convexity of X passes to the space of X-valued functions Lp (m,X).
Keywords: Uniform Convexity, Complex Uniform Convexity, Uniform G-convexity 
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Boyko, Nataliia; Kadets, Vladimir. Uniform G-Convexity for Vector-Valued Lp Spaces. Serdica Mathematical Journal, Tome 35 (2009) no. 1, pp. 1-14. http://geodesic.mathdoc.fr/item/SMJ2_2009_35_1_a0/