Extension of Uniformly Convex Norms
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (1995) no. 3, pp. 312-318
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.
@article{JMAG_1995_2_3_a4,
author = {A. Yu. Kellerman},
title = {Extension of {Uniformly} {Convex} {Norms}},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {312--318},
year = {1995},
volume = {2},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_1995_2_3_a4/}
}
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/