Difference between revisions of "Pullback norm"
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Then we can use the norm on {{M|V}} to "pull back" the idea of a norm into {{M|U}} | Then we can use the norm on {{M|V}} to "pull back" the idea of a norm into {{M|U}} | ||
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==Proof== | ==Proof== | ||
Revision as of 07:44, 23 August 2015
Definition
Suppose we have a normed vector space, (V,∥⋅∥V,F) and another vector space (U,F) and a linear isomorphism L:(U,F)→(V,∥⋅∥V,F)
Then we can use the norm on V to "pull back" the idea of a norm into U yes
Proof
TODO:
