, Volume 104, Issue 1, pp 17-27

Smooth functions onc 0

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

We show that every Fréchet differentiable real function onc 0 with locally uniformly continuous derivative has locally compact derivative. Among the corollaries we obtain that there exists no surjectiveC 2 smooth operator fromc 0 onto an infinite dimensional space with nontrivial type.