The sequence space lp

  • Thread starter hedipaldi
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  • #1
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Homework Statement


how to prove that the sequences space lp is subspace of lq for p smaller than q?


Homework Equations





The Attempt at a Solution


I try to imply holder inequality but meanwile unsuccesfully
 

Answers and Replies

  • #2
jbunniii
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Hint: if ##0 < x < 1## and ##0 < p < q##, then ##x^q < x^p##.
 
  • #3
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Yes,so simple. thank you very much.
 

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