(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

show that ||f||1 = ∫|f| (integral from 0 to 1) does define a norm on the subspace C[0,1] of continuous functions

and also the same for ||f||= ∫t|f(t)|dt is a norm on C[0,1]

2. Relevant equations

(there are 3 conditions , i just dont know how to prove that ||v||>0,||v||=0 implies v=0)

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# Homework Help: Integral norm proving

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