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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- Sep 14th 2008, 11:21 AMmathdogfunctional 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? - Sep 14th 2008, 12:13 PMPlato
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]$