Geodesic
Quasi-Differentiable Norms
Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 407-408

Voir la notice de l'article provenant de la source Cambridge University Press

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/}
}
TY  - JOUR
AU  - Whitfield, J. H. M.
TI  - Quasi-Differentiable Norms
JO  - Canadian mathematical bulletin
PY  - 1974
SP  - 407
EP  - 408
VL  - 17
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-075-4/
DO  - 10.4153/CMB-1974-075-4
ID  - 10_4153_CMB_1974_075_4
ER  - 
%0 Journal Article
%A Whitfield, J. H. M.
%T Quasi-Differentiable Norms
%J Canadian mathematical bulletin
%D 1974
%P 407-408
%V 17
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-075-4/
%R 10.4153/CMB-1974-075-4
%F 10_4153_CMB_1974_075_4

[1] 1. Bonic, R. and Frampton, J., Smooth functions on Banach manifolds, J. Math. Mech. 15 (1966), 877-898. Google Scholar

[2] 2. Cudia, D. F., The geometry of Banach spaces. Smoothness, Trans. Amer. Math. Soc. 110 (1964), 284-314. Google Scholar

[3] 3. Day, M. M., Normed Linear Spaces, Academic Press, New York, 1962. (1964), 284-314. Google Scholar

[4] 4. Goodman, V., Quasi-differentiable functions on Banach spaces, Proc. Amer. Math. Soc. 30 (1971), 367-370. Google Scholar

Cité par Sources :