Eberlein–Šmulian theorem

E1240540 UNEXPLORED

The Eberlein–Šmulian theorem is a fundamental result in functional analysis characterizing weak compactness in Banach spaces by showing that a subset is weakly compact if and only if it is weakly sequentially compact.

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Banach–Alaoglu theorem relatedTo Eberlein–Šmulian theorem