Quasi-Differentiable Norms
Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 407-408
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Let E be a real Banach space with norm ρ. Let S={x ∊ E: ρ(x) = 1}. A norm on E is admissible if it generates the same topology as ρ.The normρ is Gateaux differ-entiable if for each x ∊ S and u ∊ E exists.
Whitfield, J. H. M. Quasi-Differentiable Norms. Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 407-408. doi: 10.4153/CMB-1974-075-4
@article{10_4153_CMB_1974_075_4,
author = {Whitfield, J. H. M.},
title = {Quasi-Differentiable {Norms}},
journal = {Canadian mathematical bulletin},
pages = {407--408},
year = {1974},
volume = {17},
number = {3},
doi = {10.4153/CMB-1974-075-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-075-4/}
}
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