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Math Help - functional Analysis

  1. #1
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    functional Analysis

    Hello,
    Can someone assist me in finding a sequence which converges to 0, but is not in any space l^p, where 1< or = p < + infinity?
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  2. #2
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    If I follow your notation correctly, have you considered something like this?
    x_1  = 1\;\& \;\left( {n \geqslant 2} \right)\left[ {x_n  = \frac{1}<br />
{{\ln (n)}}} \right]
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