# functional Analysis

• Sep 14th 2008, 11:21 AM
mathdog
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?
• Sep 14th 2008, 12:13 PM
Plato
If I follow your notation correctly, have you considered something like this?
$x_1 = 1\;\& \;\left( {n \geqslant 2} \right)\left[ {x_n = \frac{1}
{{\ln (n)}}} \right]$