Geodesic
Extension of Uniformly Convex Norms
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (1995) no. 3, pp. 312-318 
A. Yu. Kellerman. Extension of Uniformly Convex Norms. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (1995) no. 3, pp. 312-318. http://geodesic.mathdoc.fr/item/JMAG_1995_2_3_a4/
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     author = {A. Yu. Kellerman},
     title = {Extension of {Uniformly} {Convex} {Norms}},
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     number = {3},
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     url = {http://geodesic.mathdoc.fr/item/JMAG_1995_2_3_a4/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the uniformly convex Banach space any equivalent uniformly convex norm on a closed subspace may be extended to an equivalent uniformly convex norm on the whole space. The same result is obtained also for strictly convex norm.