Browsing by Author "Demessie, Eshetu"

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    Eberlein- _ Smulian Theorem
    (Addis Ababa University, 2013-02) Demessie, Eshetu; Goa, Mengistu (PhD)
    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