Eberlein- _ Smulian Theorem
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Date
2013-02
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Addis Ababa University
Abstract
A subset A of a Banach space X is called weakly sequentially compact if
every sequence in A has a weak cluster point in X. The di_culty implication
of the Eberlein- _ Smulian theorem states that such a set is already relatively
weakly compact. This implication was proved by W. Eberlein
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Eberlein- _ Smulian Theorem