Source: wikibot/eberlein-smulian-theorem
= Eberlein–Šmulian theorem
{wiki=Eberlein–Šmulian_theorem}
The Eberlein–Šmulian theorem is a result in functional analysis that characterizes weak*-compactness in the dual space of a Banach space. Specifically, it provides a criterion for when a subset of the dual space \\( X^* \\) (the space of continuous linear functionals on a Banach space \\( X \\)) is weak*-compact.