# Pullback norm

Suppose we have a normed vector space, $(V,\|\cdot\|_V,F)$ and another vector space [ilmath](U,F)[/ilmath] and a linear isomorphism $L:(U,F)\rightarrow (V,\|\cdot\|_V,F)$
That norm is: $\|x\|_U=\|L(x)\|_V$