Homework Help: The sequence space lp

1. Mar 15, 2013

hedipaldi

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. Mar 15, 2013

jbunniii

Hint: if $0 < x < 1$ and $0 < p < q$, then $x^q < x^p$.

3. Mar 15, 2013

hedipaldi

Yes,so simple. thank you very much.