On differentiability of strongly $\alpha (\cdot )$-paraconvex functions
in non-separable Asplund spaces
Studia Mathematica, Tome 167 (2005) no. 3, pp. 235-244
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
In Rolewicz (2002) it was proved that every strongly $\alpha (\cdot )$-paraconvex function defined on an open convex set in a separable Asplund space is Fréchet differentiable on a residual set. In this paper it is shown that the assumption of separability is not essential.
Keywords:
rolewicz proved every strongly alpha cdot paraconvex function defined convex set separable asplund space chet differentiable residual set paper shown assumption separability essential
Affiliations des auteurs :
S. Rolewicz 1
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author = {S. Rolewicz},
title = {On differentiability of strongly $\alpha (\cdot )$-paraconvex functions
in non-separable {Asplund} spaces},
journal = {Studia Mathematica},
pages = {235--244},
publisher = {mathdoc},
volume = {167},
number = {3},
year = {2005},
doi = {10.4064/sm167-3-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm167-3-5/}
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S. Rolewicz. On differentiability of strongly $\alpha (\cdot )$-paraconvex functions in non-separable Asplund spaces. Studia Mathematica, Tome 167 (2005) no. 3, pp. 235-244. doi: 10.4064/sm167-3-5
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