Difference between revisions of "Pullback norm"

Latest revision as of 16:30, 23 August 2015

Suppose we have a normed vector space, and another vector space $(U,F)$ and a linear isomorphism $L:(U,F)\rightarrow (V,\|\cdot\|_V,F)$

Then we can use the norm on $V$ to "pull back" the idea of a norm into $U$

That norm is: $\|x\|_U=\|L(x)\|_V$

TODO:

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