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:

Revision as of 03:55, 8 March 2015 (view source) Alec (Talk \| contribs) (Created page with "==Definition== Suppose we have a normed vector space, <math>(V,\\|\cdot\\|_V,F)</math> and another vector space {{M\|(U,F)}} and a Linear map\|linear i...")		Latest revision as of 16:30, 23 August 2015 (view source) Alec (Talk \| contribs) m (Reverted edits by JessicaBelinda133 (talk) to last revision by Alec)
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