Difference between revisions of "Pullback norm"
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Revision as of 03:55, 8 March 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
That norm is: ∥x∥U=∥L(x)∥V
Proof
TODO:
[Expand]Linear Algebra
