Eberlein- Smulian Theorem

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A subset A of a Banach space X is called weakly sequentially compact ifrnevery sequence in A has a weak cluster point in X. The di_culty implicationrnof the Eberlein- _ Smulian theorem states that such a set is already relativelyrnweakly compact. This implication was proved by W. Eberlein

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Eberlein-  Smulian Theorem

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