Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

On differentiability of strongly $\alpha (\cdot )$-paraconvex functions in non-separable Asplund spaces

Tom 167 / 2005

Studia Mathematica 167 (2005), 235-244 MSC: 46N10, 52A01. DOI: 10.4064/sm167-3-5

Streszczenie

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.

Autorzy

• S. RolewiczInstitute of Mathematics