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Homework Help: The sequence space lp

  1. Mar 15, 2013 #1
    1. The problem statement, all variables and given/known data
    how to prove that the sequences space lp is subspace of lq for p smaller than q?


    2. Relevant equations



    3. The attempt at a solution
    I try to imply holder inequality but meanwile unsuccesfully
     
  2. jcsd
  3. Mar 15, 2013 #2

    jbunniii

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    Hint: if ##0 < x < 1## and ##0 < p < q##, then ##x^q < x^p##.
     
  4. Mar 15, 2013 #3
    Yes,so simple. thank you very much.
     
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