Smooth functions onc0
- Cite this article as:
- Hájek, P. Isr. J. Math. (1998) 104: 17. doi:10.1007/BF02897057
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We show that every Fréchet differentiable real function onc0 with locally uniformly continuous derivative has locally compact derivative. Among the corollaries we obtain that there exists no surjectiveC2 smooth operator fromc0 onto an infinite dimensional space with nontrivial type.