# Weak Convergence

The sequence $\{x_n\}$ converges weakly to $x$ means that $\lim l(x_n)=l(x)$ for every linear functional $l$ in $X'$.

The notation for weak convergence is $x_n\rightharpoonup x$, which is typed as \rightharpoonup in LaTeX.

## Author: mathtuition88

http://mathtuition88.com

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