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On convex functions in c(w).

Petr Hájek — 1996

Collectanea Mathematica

It is proved that no convex and Fréchet differentiable function on c(w), whose derivative is locally uniformly continuous, attains its minimum at a unique point.

Dual renormings of Banach spaces

Petr Hájek — 1996

Commentationes Mathematicae Universitatis Carolinae

We prove that a Banach space admitting an equivalent WUR norm is an Asplund space. Some related dual renormings are also presented.

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