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Normed vector space

  1. Dec 1, 2008 #1
    1. The problem statement, all variables and given/known data
    I have to show that l1, l2 and linfinity are norms


    3. The attempt at a solution

    Do you just go through the conditions for norm spaces ie:
    1. ||x||>0, ||x|| = 0 iff x = 0
    2.triangle inequality
    3.||cx|| < |c|||x||

    if the space satisfies these conditions it is a norm??
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Dec 1, 2008 #2
    Yes, that's right.
     
  4. Dec 1, 2008 #3
    You do just verify the points of the definition of a norm, but your 3rd point is a bit, off i believe there should be equality.
     
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