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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If I follow your notation correctly, have you considered something like this? $\displaystyle x_1 = 1\;\& \;\left( {n \geqslant 2} \right)\left[ {x_n = \frac{1} {{\ln (n)}}} \right]$
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