We study strictly G-convex renormings and extensions of strictly G-convex norms on Banach spaces. We prove that ℓω(Γ) space cannot be strictly G-convex renormed given Γ is uncountable and G is bounded and separable.
@article{bwmeta1.element.doi-10_2478_s11533-010-0050-3,
author = {Nataliia Boyko},
title = {On equivalent strictly G-convex renormings of Banach spaces},
journal = {Open Mathematics},
volume = {8},
year = {2010},
pages = {871-877},
zbl = {1230.46013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0050-3}
}
Nataliia Boyko. On equivalent strictly G-convex renormings of Banach spaces. Open Mathematics, Tome 8 (2010) pp. 871-877. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0050-3/
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