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Homework Help: Functional analysis question.

  1. Apr 5, 2009 #1
    See the attachment.

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  2. jcsd
  3. Apr 5, 2009 #2


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    I really don't think there is much to show. How do you define an infinite sum like the sum of x_k*e_k? I would say it's the sequence whose i-th term is the sum of the i-ith terms of all of the x_k*e_k. So for a given i there's only one sequence with a nonzero term. You definitely don't want to start trying to prove the partial sums converge in the l_infinity norm. They don't unless x converges to zero (in the real infinite sequence sense).
  4. Apr 6, 2009 #3
    You can use LaTeX codes on the forum by using the [ tex ]LaTeX Code Goes Here[ /tex ] tags (without the spaces)
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