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Question about finite dimensional real l^p space

  1. Jun 6, 2013 #1
    I believe I understand the definitition of the l^p space, its set of infinite sequences that converge when the sequence is put to the power of p, term by term. However I came across "Let T be a real linear operator from a finite dimensional real l^p space to a real finite dimensional banach space". My issue is that I don't understand what it means by a real finite dimensional real l^p space. If anyone could point me in the right direction that would be great.
  2. jcsd
  3. Jun 6, 2013 #2
    They just mean ##\mathbb{R}^n## with norm

    [tex]\|(x_1,...,x_n)\|_p = \sqrt[p]{\sum_{k=1}^n |x_k|^p}[/tex]
  4. Jun 6, 2013 #3
    Ahh that makes a lot more sense. Thank you
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