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edited title

edited Mar 25, 2014 at 0:20

A (non trivial) continuous map on a Banach space which is nowhere Frechet differentiable

Assume that $X$ is a Banach space. Is there a continuous map $f:X\to X$ such that $f$ is nowhere Frechet differentiable, but its restriction to every finite dimensional subspace is every where Frechet differentiable?

fa.functional-analysis ca.classical-analysis-and-odes banach-spaces

asked Mar 25, 2014 at 0:15

Ali Taghavi