Weak-star topology (source code)

= Weak-star topology
{wiki=Weak_topology#Weak-*_topology}

The weak-star topology $\sigma(X^*,X)$ is pointwise convergence of functionals on $X$. If $X$ is nonreflexive, it is strictly weaker than the weak topology $\sigma(X^*,X^{**})$ on $X^*$.