Miroslav Zelen\'{y}
An example of a $\Cal C^{1,1}$ function, which is not a d.c. function

Abstract:Let $X = \ell _p$, $p \in (2,+\infty )$. We construct a function $f:X \to {\Bbb R}$ which has Lipschitz Fr\'echet derivative on $X$ but is not a d.c. function.

Keywords: Lipschitz Fr\'echet derivative, d.c. functions
AMS Subject Classification: 46B20, 26B25

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